Kuznetsov A.P., Sataev I.R.
Bifurcation analysis of the full synchronization region of the Josephson non-identical contact system (In Russian).
Journal of Radio Electronics
#12, 2023, P. 1-11.
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Stankevich N.V., Volkov E.I.
Emergence and evolution of unusual inhomogeneous limit cycles displacing hyperchaos in three quorum-sensing coupled identical ring oscillators.
Physica D
455, 2023, P. 133902.
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Kuptsov P.V.
Control of bistability of two uniaxial spin transfer oscillators with field
coupling and RLC load.
Physics of the Solid State
65 #6, 2023, P. 903-910.
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Shykhmamedov A., Karatetskaya E., Kazakov A., Stankevich N.V.
Scenarios for creation of hyperchaotic attractors in 3D maps.
Nonlinearity
36 #7, 2023, P. 3501.
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Stankevich N.V., Gonchenko A.S., Popova E.S., Gonchenko S.V.
Complex dynamics of the simplest neuron model: singular chaotic Shilnikov attractor as specific oscillatory neuron activity.
Chaos, Solitons & Fractals
172, 2023, P. 113565.
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Kuznetsov A.P., Sedova Yu.V., Stankevich N.V.
Coupled systems with quasi-periodic and chaotic dynamics.
Chaos, Solitons & Fractals
169 #4, 2023, P. 113278.
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Kuptsov P.V., Stankevich N.V., Bagautdinova E.R.
Discovering dynamical features of Hodgkin-Huxley-type model of physiological neuron using artificial neural network.
Chaos, Solitons & Fractals
167, 2023, P. 113027.
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Bayburin V.B., Komarov V.V., Meshchanov V.P., Balakin M.I., Kirkitsa V.A.
Analytical Fano resonance models for frequency-selective microwave surfaces.
Radioengineering
86 #10, 2022, P. 155-164.
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Bayburin V.B., Cherepanov P.D., Meshchanov V.P., Komarov V.V., Balakin M.I.
Mathematical model of promising magnetron-type generator in the terahertz frequency range (In Russian).
Achievements of modern radioelectronics
76 #10, 2022, P. 39-45.
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Turukina L.V.
Dynamics of the Rabinovich–Fabrikant system and its generalized model in the case of negative values of parameters that have the meaning of dissipation coefficients (In Russian).
Izvestiya VUZ. Applied Nonlinear Dynamics
30 #6, 2022, P. 685-701.
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Kuznetsov A.P., Sedova Yu.V., Stankevich N.V.
Different modes of three connected generators capable of displaying quasi-periodic fluctuations (In Russian).
Technical Physics Letters
48 #24, 2022, P. 19-22.
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Kuznetsov A. P. Sedova Yu. V. Anishchenko-Astakhov quasiperiodic generator excited by external harmonic force
Technical Physics Letters48 2022, iss. 2.
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Stankevich N.V., Kuznetsov A.P., Seleznev E.P. Chaos and hyperchaos arising from the destruction of multifrequency tori
Chaos, Solitons & Fractals147 2021, 110998.
3.1 МБ.
Kuptsov P. V., Kuptsova A. V., Stankevich N. V., Artificial Neural Network as a Universal Model of Nonlinear Dynamical Systems
Rus. J. Nonlin. Dyn., 17, 2021, iss. 1, 5-21.
1.9 МБ.
A. P. Kuznetsov, N. V. Stankevich, N. A. Shchegoleva. Synchronization of coupled generators of quasi-periodic oscillations upon destruction of invariant curve.
Izvestiya VUZ, Applied Nonlinear Dynamics, 29, 2021, no. 1, 135-159.
4.3 MB.
E. S. Popova, N. V. Stankevich, A. P. Kuznetsov. Cascade of
Invariant Curve Doubling Bifurcations and Quasi-Periodic Hénon
Attractor in the Discrete Lorenz-84 Model. Izvestiya Saratovskogo
Universiteta. Novaya Seriya Fizika. 2020.
Izvestiya Saratovskogo Universiteta. Novaya Seriya Fizika20, 2020, No .1, 222-232, pp. 222-232. (in Russian)
659 КБ.
Stankevich N.V., Shchegoleva N.A., Sataev I.R., Kuznetsov
A.P. Three-dimensional torus breakdown and chaos with two zero
Lyapunov exponents in coupled radio-physical generators
Journal of Computational and Nonlinear Dynamics. 2020, 15, 2020, No.11, pp. 111001 (10 pages)
476 КБ.
S.P. Kuznetsov. Some Lattice Models with Hyperbolic Chaotic Attractors
Nonlinear
Dynamics, 16, 2020, No.01, pp. 13-21.
373 КБ.
S.P. Kuznetsov, V.P. Kruglov, Yu.V. Sedova. Mechanical Systems
with Hyperbolic Chaotic Attractors Based on Froude Pendulums
Nonlinear
Dynamics, 16, 2020, No.01, pp. 51-58.
395 КБ.
O.B. Isaeva, I.R. Sataev. Bernoulli mapping with hole and a
saddle-node scenario of the birth of hyperbolic Smale–Williams
attractor.
Discontinuity, Nonlinearity, and
Complexity, 9, 2020, iss. 1, 13-26.
1.6 MB.
D.A. Krylosova, E.P. Seleznev, N.V. Stankevich. Dynamics of
Non-Autonomous Oscillator with a Controlled Phase and Frequency of
External Forcing.
Chaos,
Solitons & Fractals, 134, 2020, no.5, 109716.
1 MB.
I.A. Bizyaev, A.V. Borisov, S.P. Kuznetsov. The Chaplygin sleigh with friction moving due to periodic oscillations of an internal mass.
Nonlinear Dynamics, 2019, 95, iss. 1, 699-714.
3.2 MB.
S.P. Kuznetsov, Yu.V. Sedova. Hyperbolic chaos in the Bonhoeffer–van der Pol oscillator with additional delayed
feedback and periodically modulated excitation parameter.
Izvestiya VUZ, Applied Nonlinear Dynamics, 27, 2019, no. 1, 77–95.
1 MB.
N.V. Stankevich, A.P. Kuznetsov, E.S. Popova, E.P. Seleznev. Chaos and hyperchaos via secondary Neimark–Sacker bifurcation in a model of radiophysical generator.
Nonlinear Dynamics, 2019, 1-16.
611 kB.
E.P.Seleznev, N.V. Stankevich.
Complex Dynamics of a Non-Self-Sustained Oscillator with a Controlled Phase of an External Drive.
Technical Physics Letters, 45, 2019, No 2, 57-60.
915 kB.
N.V. Stankevich, E. S. Popova, A.P. Kuznetsov, E.P.Seleznev.
Broadband Chaotic Oscillations in a Weakly Coupled Ensemble of Self-Sustained Oscillators.
Technical Physics Letters, 45, 2019, No 12, 1233–1236.
400 kB.
A.P. Kuznetsov, S.P. Kuznetsov, N.A. Shchegoleva, N.V. Stankevich. Dynamics of coupled generators of quasiperiodic oscillations: Different types of synchronization and other phenomena.
Physica D, 2019, 398, 1-12.
1 MB.
N.V. Stankevich, A. Dvorak, V. Astakhov, P. Jaros, M. Kapitaniak, P. Perlikowski, and T. Kapitaniak.
Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators.
Regular and Chaotic Dynamics, 23, 2018, No 1, 120–126.
1.5 MB.
S.P. Kuznetsov.
Regular and Chaotic Dynamics of a Chaplygin Sleigh due to
Periodic Switch of the Nonholonomic Constraint. Regular and Chaotic Dynamics, 23, 2018, No 2, 178–192.
4.5 MB.
N.V. Stankevich, O.V. Astakhov, A.P. Kuznetsov, E.P.Seleznev.
Exciting Chaotic and Quasi-Periodic Oscillations in a Multicircuit Oscillator with a Common Control Scheme.
Technical Physics Letters, 44, 2018, No 5, 428–431.
590 kB.
S.P. Kuznetsov, Yu.V. Sedova. Hyperbolic Chaos in Systems Based on FitzHugh – Nagumo Model Neurons.
Regular and Chaotic Dynamics, 23, 2018, No 4, 329-341.
890 kB.
R.M. Rosental, O.B. Isaeva, N.S. Ginzburg, I.V. Zotova, A.S. Sergeev, A.G. Rozhnev.
Characteristics of Chaotic Regimes in a Space-distributed Gyroklystron Model with Delayed Feedback.
Russian Journal of Nonlinear Dynamics, 14, 2018, no. 2, 155–168.
1.45 MB.
N.V. Stankevich, E.I. Volkov. Multistability in a three-dimensional oscillator: tori, resonant cycles and chaos.
Nonlinear Dynamics, 2018, 94, iss. 4, 2455-2467.
3.3 MB.
N.V. Stankevich, E. Mosekilde, and A. Koseska. Stochastic switching in systems with rare and hidden attractors .
Eur. Phys. J. SpecialTopics, 227, 2018, pp. 747-756.
340 kB.
H. Takahashi, T. Kousaka, H. Asahara, N. Stankevich, N. Inaba. Mixed-mode oscillation-incrementing bifurcations and a devil’s staircase from a nonautonomous, constrained Bonhoeffer–van der Pol oscillator.
Progress of Theoretical and Experimental Physics, vol.2018, iss.10, 103A02.
8 MB.
P.V. Kuptsov, S.P. Kuznetsov. Lyapunov Analysis of Strange Pseudohyperbolic Attractors: Angles Between Tangent Subspaces, Local Volume Expansion and Contraction.
Regular and Chaotic Dynamics, 23, 2018, No 7-8, 908-932.
1.4 MB.
A.V. Borisov, S.P. Kuznetsov. Comparing Dynamics Initiated by an Attached Oscillating
Particle for the Nonholonomic Model of a Chaplygin Sleigh and for a Model with Strong Transverse
and Weak Longitudinal Viscous Friction Applied at a Fixed Point on the Body.
Regular and Chaotic Dynamics, 23, 2018, No 7-8, 803-820.
1 MB.
V.M. Doroshenko, V.P. Kruglov, S.P. Kuznetsov. Smale-Williams Solenoids in a System of Coupled Bonhoeffer - van der Pol Oscillators.
Russian Journal of Nonlinear Dynamics, 14, 2018, no. 4, 435-451.
2.7 MB.
S.P. Kuznetsov. Chaos and hyperchaos of geodesic flows on curved manifolds corresponding to mechanically coupled rotators: Examples and numerical study.
Preprint nlin. arXiv: 1810.08002.
370 kB.
Stankevich N.V., Kuznetsov A.P., Seleznev E.P. Quasi-Periodic Bifurcations of Four-Frequency
Tori in the Ring of Five Coupled van der Pol Oscillators with Different Types of Dissipative Coupling.
Technical Physics, 62, 2017, No 6, 971–974.
260 kB.
A.Yu. Jalnine, S.P. Kuznetsov. Autonomous Strange Nonchaotic Oscillations in a System of Mechanical Rotators.
Regular and Chaotic Dynamics, 22, 2017, No 3, 210–225.
2.3 MB.
P.V. Kuptsov, S.P. Kuznetsov, N.V. Stankevich. A Family of Models with Blue Sky Catastrophes of Different Classes.
Regular and Chaotic Dynamics, 22, 2017, No 5, 551–565.
1.6 MB.
S.P. Kuznetsov. Regular and chaotic motions of the Chaplygin sleigh with periodically switched location of nonholonomic constraint.
Europhysics Letters, 118, No 1, 2017,
10007.
390 kB.
Bizyaev I.A., Borisov A.V., Kuznetsov S.P. Chaplygin sleigh with periodically oscillating internal mass.
Europhysics Letters, 119, No 6, 2017,
60008.
860 kB.
V.M. Doroshenko, S.P. Kuznetsov. A system governed by a set of nonautonomous differential equations with robust strange nonchaotic
attractor of Hunt and Ott type.
European Physical Journal. Special Topics, 226, No 9, 2017,
1765-1775.
3 MB.
O.B. Isaeva, D.V. Savin, E.P. Seleznev, N.V. Stankevich. Hyperbolic chaos and quasiperiodic dynamics in experimental nonautonomous systems of coupled oscillators.
Progress In Electromagnetics Research Symposium. Proceedings: St Petersburg, Russia, 22–25 May 2017,
3109-3113.
N.V. Stankevich, O.V. Astakhov, E.P. Seleznev. Generation of chaotic and quasi-periodic oscillations in multi-contour self-generator.
Progress In Electromagnetics Research Symposium. Proceedings: St Petersburg, Russia, 22–25 May 2017,
3119-3121.
N.V. Kuznetsov, G.A. Leonov, N.V. Stankevich. Synchronization of Hidden Chaotic Attractors on the Example of Radiophysical Oscillators.
Progress In Electromagnetics Research Symposium. Proceedings: St Petersburg, Russia, 22–25 May 2017,
3114-3118.
E.A. Grines, A.O. Kazakov, I.R. Sataev. Discrete Shilnikov attractor and chaotic dynamics in the system of five identical globally coupled phase oscillators with biharmonic coupling.
Preprint nlin. arXiv: 1710.07828.
600 kB.
A.P. Kuznetsov, S.P. Kuznetsov, Yu.V. Sedova. The influence of noise on two- and three-frequency quasi-periodicity in a simple model system.
Preprint nlin. arXiv: 1712.06011.
565 kB.
2016
P.V. Kuptsov, S.P. Kuznetsov.
Numerical test for hyperbolicity of chaotic dynamics in time-delay systems.
Phys. Rev. E, 94, 2016, 010201(R).
470 kB.
A.Yu. Jalnine, S.P. Kuznetsov. Strange nonchaotic self-oscillator.
Europhysics Letters, 115, No 3, 2016,
30004.
280 kB.
A.P. Kuznetsov, L.V. Turukina, N.Yu. Chernyshov, Yu.V. Sedova.
Oscillations and Synchronization in a System of Three Reactively Coupled Oscillators.
International Journal of Bifurcation and Chaos, 26, 2016, No 1, 1650010.
450 kB.
S.P. Kuznetsov. Parametric chaos generator operating on a varactor diode with the instability limitation decay mechanism.
Technical Physics, 61, 2016, No 3, 436-445.
1.8 MB.
A.V. Borisov, S.P. Kuznetsov, I.S. Mamaev, and V.A. Tenenev.
Describing the Motion of a Body with an Elliptical Cross Section
in a Viscous Uncompressible Fluid by Model Equations Reconstructed
from Data Processing.
Technical Physics Letters, 42, 2016, No 9, 886–890.
236 kB.
S.P. Kuznetsov, V.P. Kruglov. Verification of Hyperbolicity for Attractors of Some Mechanical Systems with Chaotic Dynamics.
Regular and Chaotic Dynamics, 21, 2016, No 2, 160–174.
1.1 MB.
P.V. Kuptsov and A.V. Kuptsova. Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach.
Proc. of SPIE, 9917, 2016, 99173O.
1.7 MB.
A.V. Borisov, S.P. Kuznetsov. Regular and Chaotic Motions of a Chaplygin Sleigh under Periodic Pulsed Torque Impacts.
Regular and Chaotic Dynamics, 21, 2016, No 7-8, 792–803.
1.6 MB.
Borisov A.V., Kazakov A.O., Sataev I.R. Spiral Chaos in the Nonholonomic Model of a Chaplygin Top.
Regular and Chaotic Dynamics, 21, 2016, No 7-8, 939–954.
2.2 MB.
O.B. Isaeva, S.P. Kuznetsov, I.R. Sataev, D.V. Savin, E.P. Seleznev. Hyperbolic Chaos and Other Phenomena of Complex Dynamics Depending on Parameters in a Nonautonomous System of Two Alternately Activated Oscillators. International Journal of Bifurcation and Chaos, 25, 2015, No 12, 1530033.
1.3 MB.
S.P. Kuznetsov. On the validity of the nonholonomic model of the rattleback.
Physics-Uspekhi, 58, 2015, No 12, 1223-1224.
418 kB.
A.P. Kuznetsov, N.A. Migunova, I.R. Sataev, Y.V. Sedova, L.V. Turukina. From Chaos to Quasi-Periodicity.
Regular and Chaotic Dynamics, 20, 2015, No 2, 189-204.
2.2 MB.
S.P. Kuznetsov. Plate falling in a fluid: Regular and chaotic dynamics of finite-dimensional models.
Regular and Chaotic Dynamics, 20, 2015, No 3, 345-382.
1.5 MB.
D.V. Savin, A.P. Kuznetsov, A.V. Savin, and U. Feudel. Different types of critical behavior in conservatively coupled Hénon maps.
Phys. Rev. E, 91, 2015, 062905.
400 kB.
P.V. Kuptsov and A.V. Kuptsova. Variety of regimes of starlike networks of Hénon maps.
Phys. Rev. E, 92, 2015, 042912.
980 kB.
E.V. Felk, A.V. Savin, A.P. Kuznetsov. Effect of weak dissipation on the dynamics of multidimensional Hamiltonian systems.
Nonlinear Phenomena in Complex Systems, 18, 2015, No 2, 259-265. 880 kB.
K.A. Yakunina, A.P. Kuznetsov and N.M. Ryskin. Injection locking of an electronic maser in the hard excitation mode.
Physics of Plasmas,22, 2015, No 11, 113107. 3.1 MB.
S.P. Kuznetsov. Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage:
Testing absence of tangencies of stable and unstable manifolds for phase trajectories.
Regular and Chaotic Dynamics, 20, 2015, No 6, 649–666.
650 kB.
A.P. Kuznetsov, S.P. Kuznetsov, N.V. Stankevich. Four-dimensional system with torus attractor birth via saddle-node bifurcation of limit cycles in context of family of blue sky catastrophes.
Izvestiya VUZ. Applied Nonlinear Dynamics, 23, 2015, №4, 63-70.
280 kB.
A.P. Kuznetsov, L.V. Turukina, N.Yu. Chernyshov, and Yu.V. Sedova.
Synchronization of forced reactively coupled van der Pol oscilators.
Preprint nlin. arXiv: 1502.03564.
650 kB.
A.P. Kuznetsov, L.V. Turukina, N.Yu. Chernyshov, Y.V. Sedova. Oscillations and synchronization in a system of three reactively coupled oscillators.
Preprint nlin. arXiv: 1503.05313.
480 kB.
S.P. Kuznetsov. Parametric Generator of Robust Chaos: Circuit Implementation and Simulation Using the Program Product MULTISIM.
Preprint: arXiv:1506.03063.
700 kB.
2014
Y.P. Emelianova, A.P. Kuznetsov, L.V. Turukina, I.R. Sataev, N.Yu. Chernyshov. A structure of the oscillation frequencies parameter space for the system of dissipatively coupled oscillators.
Communications in Nonlinear Science and Numerical Simulation, 19, 2014, No 4, 1203–1212.
830 kB.
Yu.P. Emelianova, A.P. Kuznetsov, L.V. Turukina. Quasi-periodic bifurcations and “amplitude death” in low-dimensional ensemble of van der Pol oscillators.
Physics Letters A, 378, 2014, 153–157.
539 kB.
A.P. Kuznetsov, I.R. Sataev, L.V. Tyuryukina, N.Yu. Chernyshev. Synchronisation in the phase model of three coupled lasers.
Quantum Electronics,
44, 2014, No 1, 17-22.
900 kB.
A.V. Borisov, A.O. Kazakov, S.P. Kuznetsov. Nonlinear dynamics of the rattleback: a nonholonomic model.
Physics-Uspekhi, 57, 2014, No 5, 453–460.
870 kB.
E.V. Felk, A.P. Kuznetsov, A.V. Savin. Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation.
Physica A, 410, 2014, 561–572.
1.3 MB.
V.P. Kruglov, S.P. Kuznetsov, A. Pikovsky.
Attractor of Smale-Williams type in an autonomous distributed system. Regular and Chaotic Dynamics, 19, 2014, No 4, 483-494.
1.6 MB.
A.V. Borisov, A.O. Kazakov, I.R. Sataev. The Reversal and Chaotic Attractor in the Nonholonomic Model of Chaplygin’s Top. Regular and Chaotic Dynamics,
Regular and Chaotic Dynamics, 19, 2014, No 6, 718–733.
1.32 MB.
P.V. Kuptsov and A.V. Kuptsova. Predictable nonwandering localization of covariant Lyapunov vectors and cluster synchronization in scale-free networks of chaotic maps.
Phys. Rev. E, 90, 2014, 032901.
380 kB.
Y.P. Emelianova, A.P. Kuznetsov, J.L. Laugesen, E. Mosekilde and N.-H. Holstein-Rathlou. Oscillator Suppression in the Blood Flow Regulation of Interacting, Non-Identical Nephrons.
Journal of Hypertension: Open Access, 3, 2014, No 3, 1000153.
1.3 MB.
S.P. Kuznetsov. Examples of mechanical systems manifesting chaotic hyperbolic attractors of Smale – Williams type. Proc. of International Symposium
“Topical Problems of Nonlinear Wave Physics". NWP-1: Nonlinear Dynamics on Complex Networks. Nizhny Novgorod, 2014, 62-63.
270 kB.
A.P. Kuznetsov, L.V. Turukina, and I.R. Sataev. About Landau-Hopf scenario in ensembles of regular and chaotic oscillators. Proc. of International Symposium “Topical Problems of Nonlinear Wave Physics". NWP-1: Nonlinear Dynamics on Complex Networks. Nizhny Novgorod, 2014, 83-84.
240 kB.
A.P. Kuznetsov, S.P. Kuznetsov, E. Mosekilde and N.V. Stankevich. Generators of quasiperiodic oscillations with three-dimensional phase space.
The European Physical Journal Special Topics, 222, 2013, No 10, 2391-2398.
512 kB.
A.P. Kuznetsov, S.P. Kuznetsov, I.R. Sataev, L.V. Turukina. About Landau–Hopf scenario in a system of coupled self-oscillators.
Physics Letters A, 377, 2013, 3291–3295.
517 kB.
S.P. Kuznetsov, Yu.V. Sedova.
Phase Chaos in the Dynamics of an Ensemble of Oscillators
with Time-Modulated Global Coupling.
Technical Physics, 58, 2013, No 1, 29–33.
870 kB.
Yu.P. Emelianova, A.P. Kuznetsov, I.R. Sataev, L.V. Turukina. Synchronization and multi-frequency oscillations in the low-dimensional chain of the self-oscillators.
Physica D, 244, 2013, No 1, 36–49.
2.4 MB.
P.V. Kuptsov, S.P. Kuznetsov, A. Pikovsky.
Hyperbolic chaos at blinking coupling of noisy oscillators.
Phys. Rev. E, 87, 2013, 032912.
915 kB.
O.B. Isaeva, A.S. Kuznetsov, S.P. Kuznetsov.
Hyperbolic chaos of standing wave patterns generated parametrically by a modulated pump source.
Phys. Rev. E, 87, 2013, 040901.
380 kB.
A.Yu. Jalnine. Generalized synchronization of identical chaotic systems on the route from an independent dynamics to the complete synchrony.
Regular and Chaotic Dynamics, 18, 2013, No 3, 214-225.
400 kB.
P.V. Kuptsov.
Violation of hyperbolicity via unstable dimension variability in a chain with local hyperbolic chaotic attractors.
Journal of Physics A, 46, 2013, No 25, 254016.
3.7 MB.
2012
P.V. Kuptsov, S.P. Kuznetsov, A. Pikovsky.
Hyperbolic Chaos of Turing Patterns.
Phys. Rev. Lett., 108, 2012, 194101.
670 kB.
P.V. Kuptsov.
Fast numerical test of hyperbolic chaos.
Phys. Rev. E , 85, 2012, 015203(R).
155 kB.
D.V. Savin, A.V. Savin, A.P. Kuznetsov, S.P. Kuznetsov, U. Feudel.
The self-oscillating system with compensated dissipation – the dynamics of the approximate discrete map.
Dynamical Systems: An International Journal, 27, 2012, 117-129.
990 kB.
A.V. Borisov, A.Yu. Jalnine, S.P. Kuznetsov, I.R. Sataev, J.V. Sedova. Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback.
Regular and Chaotic Dynamics, 17, 2012, No. 6, 512-532.
4 MB.
2011
S.P. Kuznetsov. Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics.
Physics-Uspekhi, 54, 2011, No 2, 119-144.
900 kB.
O.B. Isaeva, S.P. Kuznetsov, E. Mosekilde.
Hyperbolic chaotic attractor in amplitude dynamics of coupled self-oscillators with periodic parameter modulation.
Phys. Rev. E , 84, 2011, 016228.
500 kB.
L.V. Turukina, A. Pikovsky. Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators.
Physics LettersA375, 2011, 1407-1411.
390 kB.
Yu.P. Emel’yanova, A.P. Kuznetsov. Synchronization of coupled van der Pole and Kislov-Dmitriev self-oscillators.
Technical Physics, 56, 2011, No 4, 435-442.
2 MB.
A.P. Kuznetsov, I.R. Sataev, L.V. Turukina.
Synchronization of forced quasi-periodic coupled oscillators. Preprint nlin. arXiv: 1106.5382.
520 kB.
S.P. Kuznetsov.
Electronic circuits manifesting hyperbolic chaos and their simulation with software package Multisim. Preprint nlin. arXiv: 1111.5839.
480 kB.
S.P. Kuznetsov. Example of blue sky catastrophe accompanied by a birth of
Smale – Williams attractor. Regular and Chaotic Dynamics, 15, 2010, No. 2–3, 348–353.
175 kB.
P.V. Kuptsov and U. Parlitz. Strict and fussy mode splitting in the
tangent space of the Ginzburg-Landau equation. Phys. Rev. E, 81, 2010, 036214.
184 kB.
A.P. Kuznetsov, I.R. Sataev and L.V. Tyuryukina.
Synchronization of quasi-periodic oscillations in coupled phase oscillators.
Tech. Phys. Lett., 36, 2010, No 5, 478-481.
282 kB.
A.S. Kuznetsov, S.P. Kuznetsov, and I.R. Sataev.
Parametric Generator of Hyperbolic Chaos
Based on Two Coupled Oscillators with Nonlinear Dissipation.
Technical Physics, 55, 2010, No 12, 1707–1715.
1 MB.
S.P. Kuznetsov, A. Pikovsky. Attractor of Smale - Williams type in an autonomous time-delay system.
Preprint nlin. arXiv: 1011.5972.
170 kB.
2009
A.P. Kuznetsov, N.V. Stankevich and L.V. Turukina.
Coupled van der Pol–Duffing oscillators: Phase dynamics and structure of synchronization tongues.
Physica D, 238, 2009, No 14, 1203-1215.
600 kB.
V.V. Emel’yanov, S.P. Kuznetsov, and N.M. Ryskin. Hyperbolic chaos generator based
on coupled drift klystrons.
Technical Physics Letters, 35, 2009, No 8, 773–776.
190 kB.
Yu.S. Aidarova, S.P. Kuznetsov. Chaotic dynamics of the Hunt model, an artificially constructed
flow system with a hyperbolic attractor.
Preprint nlin. arXiv: 0901.2727.
500 kB.
P.V. Kuptsov, S.P. Kuznetsov. Violation of hyperbolicity in a diffusive
medium with local hyperbolic attractor.
Phys. Rev. E, 80, 2009, 016205.
417 kB.
A.P. Kuznetsov, Ju. P. Roman.
Properties of synchronization in the systems of non-identical coupled van der Pol
and van der Pol–Duffing oscillators. Broadband synchronization.
Physica D, 238,
2009, No 16, 1499-1506.
292 MB.
2008
O.B.Isaeva, S.P.Kuznetsov and A.H.Osbaldestin.
A system of alternately excited coupled non-autonomous oscillators
manifesting phenomena intrinsic to complex analytical maps.
Physica D, 237, 2008, 873–884.
850 kB.
A.P. Kuznetsov, A.V. Savin , D.V. Savin. On some properties of nearly
conservative dynamics of Ikeda map and its relation with the conservative case.
Physica A, 387, 2008, No 7, 1464-1474.
500 kB.
S.P. Kuznetsov, A.A. Mailybaev and I.R. Sataev. Birth of a New Class of Period-Doubling Scaling
Behavior as a Result of Bifurcation in the Renormalization Equation.
Journal of Statistical Physics, 130, 2008, No 3, 599-616.
471 kB.
A.P. Kuznetsov, I.R. Sataev, J.V. Sedova.
Dynamics of coupled non-identical systems with period-doubling cascade.
Regular and Chaotic Dynamics, 2008, 13, No. 1, 9-18.
1.03 MB.
A.Yu. Jalnine and S.P. Kuznetsov.
Effect of noise in a nonautonomous system of alternately excited oscillators with a hyperbolic strange attractor.
Phys. Rev. E, E77, 2008, 036220.
220 kB.
A.P. Kuznetsov and J.V. Sedova. Peculiarities of scaling in models of Duffing oscillator under
action of kicks with random modulation of parameters.
Fluctuation and Noise Letters, 8, 2008, No 2, L173-L185.
780 kB.
S.P. Kuznetsov and V.I. Ponomarenko. Realization of a strange attractor of the Smale-Williams type in a radiotechnical delay-feedback oscillator.
Tech. Phys. Lett., 34, 2008, No 9, 771–773.
650 kB.
S.P. Kuznetsov and A.S. Pikovsky. Hyperbolic chaos in the phase
dynamics of a Q-switched oscillator with delayed nonlinear feedbacks.
Europhysics Letters, 84, 2008, 10013.
2 MB.
A.P. Kuznetsov, S.P. Kuznetsov, A.V. Savin, D.V. Savin. On the possibility for an autooscillatory system under external
periodic drive action to exhibit universal behavior characteristic of the transition to chaos via period-doubling bifurcations in conservative systems.
Technical Physics Letters, 34, 2011, No 8, 985-988.
244 kB.
P.V. Kuptsov, S.P. Kuznetsov and I.R. Sataev. Hyperbolic attractor
of Smale-Williams type in a system of two coupled non-autonomous
amplitude equations. Preprint nlin. arXiv: 0804.3677
290 kB.
O.B. Isaeva, S.P. Kuznetsov. Siegel disk for complexified Henon map.
Preprint nlin. arXiv: 0804.4238
140 kB.
A.P. Kuznetsov, J.P. Roman.
Properties of synchronization in the systems of non-identical
coupled van der Pol and van der Pol - Duffing oscillators.
Broadband synchronization. Preprint nlin. arXiv: 0805.1141.
300 kB.
A.P. Kuznetsov, J.P. Roman.
Synchronization of coupled anizochronous oscillators. Preprint nlin. arXiv: 0806.1402.
443 kB.
A.P. Kuznetsov, J.P. Roman.
Synchronization of Coupled Anizochronous Auto-Oscillating Systems.
Preprint nlin. arXiv: 0810.2863.
243 kB.
A.P. Kuznetsov, N.V. Stankevich, and L.V. Tyuryukina.
Stabilizing the Rossler System by External Pulses on a Runaway Trajectory.
Tech. Phys. Lett., 34, 2008, No 7, 618-621.
220 kB.
2007
S.P.Kuznetsov and I.R.Sataev. Hyperbolic attractor in a system of coupled
non-autonomous van der Pol oscillators: Numerical test for expanding and
contracting cones.
Physics Letters, A365, 2007, 97-104.
700 kB.
S.P.Kuznetsov and A.S.Pikovsky.
Autonomous coupled oscillators with hyperbolic strange attractors.
Physica D, 232, 2007, 87–102.
2.84 MB.
A.Yu.Jalnine and S.P.Kuznetsov. On the Realization of the Hunt–Ott Strange Nonchaotic Attractor
in a Physical System.
Technical Physics, 2007, 52, No. 4, 401–408.
307 kB.
Yu.S.Aidarova, A.P.Kuznetsov, L.V.Tyuryukina. Features of short-pulse
synchronization of a Lorenz system.
Tech. Phys. Lett., 33, 2007, No 6, 502-504.
262 kB.
S.P.Kuznetsov, O.B.Isaeva and A.H.Osbaldestin.
Complex Analytic Dynamics Phenomena in a System of Coupled
Nonautonomous Oscillators with Alternative Excitation.
Tech. Phys. Lett., 33 2007,No. 9, 748-751.
610 kB.
S.P. Kuznetsov and I.R. Sataev.
Renormalization Group Approach to the Effect of Noise at the Birth of a Strange Nonchaotic Attractor.
Fluctuation and Noise Letters,
7, 2007, No 3, L263-L271.
661 kB.
A.P.Kuznetsov, I.R.Sataev, J.V.Sedova. Dynamics of coupled non-identical systems
with period-doubling cascade.
Preprint nlin. CD/0609004.
A.P. Kuznetsov, S.P. Kuznetsov, I.R. Sataev, and A.V. Savin.
Criticality of FQ Type in the Context of Autonomous Systems and Systems with Noise.
Nonlinear Phenomena in Complex Systems, 10, 2007, No 3, 247-255.
280 kB.
A.P. Kuznetsov, N.V. Stankevich, and L.V. Turukina. Picture of Pulsed
Synchronization in the Dmitriev – Kislov Generator.
Nonlinear Phenomena in Complex Systems, 10, 2007, No 4, 407-412.
235 kB.
S.P. Kuznetsov, O.B.Isaeva, A.Y.Jalnine.
Manipulating phases of alternately excited self-oscillators:
A way to organize hyperbolic chaos and some other phenomena of complex dynamics.
The 3-rd International Conference "Physics and Control" (PhysCon 2007), Proceedings.
102 kB.
2006
A.P.Kuznetsov, S.P.Kuznetsov, J.V.Sedova. Effect of noise on the critical golden-mean
quasiperiodic dynamics in the circle map.
Physica A, 359, 2006, 48-64.
660 kB.
S.P.Kuznetsov, I.R.Sataev. A new type of period-doubling scaling
behavior in two-dimensional area-preserving map.
Physics Letters A, 350, 2006, 110-116.
350 kB.
S.P.Kuznetsov, E.P.Seleznev.
A strange attractor of the Smale–Williams type
in the chaotic dynamics of a physical system.
JETP, 102, 2006, No. 2, 355–364.
381 kB.)
A. P. Kuznetsov and V. I. Paksyutov.
The Planes of Control Parameters
of Coupled Nonidentical Autooscillatory Systems.
Tech. Phys. Lett., 32, 2006, No 4, 305-308.
227 kB.
A.P. Kuznetsov, N. V. Stankevich, and L. V. Tyuryukina.
Features of Pulsed Synchronization of an Autooscillatory System
with a Three-Dimensional Phase Space.
Tech. Phys. Lett., 32, 2006, No 4, 343-346.
120 kB.
E.V. Blokhina, S.P. Kuznetsov, A.G. Rozhnev. High-Dimensional Chaotic Attractors in
a Gyrotron with Nonstationary Field Structure.
Tech. Phys. Lett., 32, 2006, No 4, 364-368.
88 kB.
A.S.Ivanova, S.P.Kuznetsov and A.H.Osbaldestin.
Universality and Scaling in Networks of Period-Doubling Maps with a Pacemaker.
Discrete Dynamics in Nature and Society. Volume 2006, Article ID 74723, Pages 1–19.
1.4 MB.
A.Yu.Jalnine, S.P.Kuznetsov, A.H.Osbaldestin.
Dynamics of small perturbations of orbits on a torus in a quasiperiodically forced 2D dissipative map.
Regular and Chaotic Dynamics, 11, 2006, No 1, 19-30.
860 kB.
A.P. Kuznetsov, E. Mosekilde and L.V. Turukina.
Synchronization in systems with bimodal dynamics.
Physica A, 121, 2006, No 2, 280-292.
800 kB.
O.B.Isaeva, A.Yu. Jalnine and S.P.Kuznetsov.
Arnold's cat map dynamics in a system of coupled nonautonomous van der Pol oscillators.
Phys. Rev. E, 74, 2006, 046207.
520 kB.
A.P. Kuznetsov and J.V. Sedova. On features of scaling in Duffing oscillator under action of impulses with random modulation of parameters.
Preprint nlin. CD/0611040.
A.P. Kuznetsov, A.V. Savin, and D.V. Savin.
On some properties of nearly conservative dynamics of Ikeda map and its relation with the conservative case.
Preprint nlin. CD/0612006.
A.P. Kuznetsov, N.V. Stankevich and L.V. Turukina.
Features of pulsed synchronization of a systems with a three-dimensional
phase space. Preprint nlin. CD/0612015.
O. B. Isaeva. Fourier Spectrum of the Signal Generated at the Point
of Period Tripling Bifurcation Accumulation.
Technical Physics, 51, 2006, No. 7, 929–931.
190 kB.
2005
S.P.Kuznetsov, A.P.Kuznetsov, I.R.Sataev. Multiparameter Critical Situations, Universality and Scaling in
Two-Dimensional Period-Doubling Maps.
Journal of Statistical Physics, 121, 2005, Nos. 5-6, 697-748.
652 kB.
S.P.Kuznetsov. Example of a Physical System with a Hyperbolic Attractor of the Smale-Williams Type.
Phys. Rev. Lett., 95, 2005, 144101.
170 kB.
S.P.Kuznetsov, A.P.Kuznetsov, I.R.Sataev. Review and Examples of Non-Feigenbaum Critical
Situations Associated with Period-Doubling. Proc. 2005 Int. Conference “Physics and Control”
(August 24-26, 2005, Saint Petersburg, Russia), 610-615.
290 kB.
S.P.Kuznetsov. Effect of noise on the dynamics at the torus-doubling terminal point in a quadratic map under quasiperiodic driving.
Phys. Rev. E, 72, 2005, 026205.
350 kB.
A.Yu.Jalnine, A.H.Osbaldestin. Smooth and non-smooth dependence of Lyapunov
vectors upon the angle variable on a torus in the context of torus-doubling transitions in
the quasiperiodically forced Henon map.
Phys. Rev. E, 71, 2005, 016206.
447 kB.
P.V.Kuptsov, R.A.Satnoianu. Stability of flow- and diffusion-distributed
structures to inlet noise effects.
Phys. Rev. E, 71, 2005, 015204.
223 kB.
A.M.Dolov and S.P.Kuznetsov. Modification of the large particle method
applied in numerical
solution of problems of microwave electronics.
Technical Physics, 50, No. 6, 2005, 799-801.
250 kB.
S.P. Kuznetsov. Generalized dimensions of the golden-mean quasiperiodic orbit from renormalization-group functional equation.
Regular and Chaotic Dynamics, 10, 2005, № 1, 33-38.
190 kB.
O.B. Isaeva, S.P. Kuznetsov.
Complex Generalization of Approximate Renormalization Group Analysis and Mandelbrot Set. Thermodynamic Analogy.
Nonlinear Phenomena in Complex Systems, 8, 2005, No 2,
157-165.
307 kB.
O.B. Isaeva, S.P. Kuznetsov. Approximate description of the Mandelbrot
set. Thermodynamic analogy. Preprint.
nlin.CD/0504063
S.P.Kuznetsov, A.P.Kuznetsov, I.R.Sataev, J.V.Sedova, and O.B.Isaeva. Effect of noise on critical dynamics of different universality classes at the chaos threshold. Proc. of International Symposium “Topical Problems of Nonlinear Wave Physics". NWP-1: Nonlinear Dynamics: Theory and Applications. Nizhny Novgorod, 2005, 56-57.
190 kB.
P.V. Kuptsov, R.A. Satnoianu, P.G. Daniels.
Pattern formation in a two-dimensional reaction-diffusion channel
with Poiseuille flow.
Phys. Rev. E, 72, 2005, 036216.
350 kB.
2004
O.B.Isaeva, S.P.Kuznetsov, A.H.Osbaldestin.
Effect of noise on the dynamics of a complex map at the period-tripling accumulation point.
Phys. Rev. E, 69, 2004, 036216.
509 kB.
A.P.Kuznetsov, A.V.Savin, S.-Y.Kim.
On the Criticality of the FQ-Type in the System of
Coupled Maps with Period-Doubling.
Nonlinear Phenomena in Complex Systems, 7, 2004, No 1,
69-77.
200 kB.
P.V.Kuptsov. Rigid transition to the stationary structure and
imposed convective instability in a reaction-diffusion system with flow.
Physica D, 197, 2004, Nos. 1-2, 174-195.
1 MB.
A.P.Kuznetsov, S.P.Kuznetsov, A.G.Rozhnev, E.V.Blokhina, and L.V. Bulgakova.
Wave Theory of a Travelling-Wave Tube Operated near the Cutoff.
Radiophysics and Quantum Electronics, 47, Nos. 5–6, 2004, 356-373.
260 kB.
2003
S.P.Kuznetsov. Generalization of the Feigenbaum-Kadanoff-Shenker
renormalization and critical phenomena associated with the golden mean
quasiperiodicity. In book: Syncronization: Theory and applications.
Eds. A.Pikovsky and Y.Maistrenko. NATO Science Series. II. Mathematics,
Physics and Chemistry, vol.109, Kluwer Academic Publishers, Dordrecht,
Boston, London, 2003, 79-100.
748 kB.
S.P.Kuznetsov, E.Neumann. Torus fractalization and singularities
in the current-voltage characteristics for the quasiperiodically
forced Josephson junction.
Europhysics Letters, 61, No 1, 2003,
20-26.
558 kB.
A.P.Kuznetsov and L.V.Tyuryukina.
Forced Synchronization in a System with Unstable Cycle.
Tech. Phys. Lett., 29, 2003, No 4, 332-333.
133 kB.
A.M.Dolov and S.P.Kuznetsov.
Chaos-Controlling Technique for Suppressing Self-Modulation
in Backward-Wave Tubes.
Technical Physics, 48, 2003, No 8, 1074-1077.
54 kB.
S.-Y.Kim, W.Lim, A.Jalnine, and S.P.Kuznetsov.
Characterization of the noise effect on weak synchronization.
Phys.Rev. E, 67 2003, 016217.
199 kB.
S.-Y.Kim, A.Jalnine, W.Lim, S.P.Kuznetsov. Characterization of the parameter-mismatching and noise effect on weak synchronization.
Izvestiya VUZ. Applied Nonlinear Dynamics (Saratov), 11, 2003, No 2, 81-86
P.V. Kuptsov, S.P. Kuznetsov, C. Knudsen and E. Mosekilde.
Absolute and convective instabilities in the one-dimensional Brusselator model with flow.
Recent Research Developments in Chemical Physics. Transworld Research Network.
Vol.4, Part II, 2003, 633-658.
1.8 MB.
S.P.Kuznetsov. Complex dynamics in backward-wave oscillators. Proc. of International Symposium
"Topical Problems of Nonlinear Wave Physics". N.Novgorod, Russia, 6-12 Sept. 2003. pp.78-79.
250 kB.
A.M.Dolov, S.P.Kuznetsov. Application of idea of chaos control
to stabilization of stationary generation in backward-wave oscillator.
Proc. 2003 Int. Conference "Physics and Control"
(August 20-22, 2003, Saint Petersburg, Russia), 507-509.
190 kB.
A.P.Kuznetsov, A.V.Savin. About the typical structures and chaos
border in the parameter plane of non-autonomous discrete maps with
period-doubling.
Nonlinear Phenomena in Complex Systems, 5, 2002, No 3,
296-301.
225 kB.
S.P.Kuznetsov, A.H.Osbaldestin. Generalized dimensions of Feigenbaum's
attractor from renormalization-group functional equations.
Regular and Chaotic Dynamics, 7, 2002, No 3, 325-330.
228 kB.
A.S.Ivanova, S.P.Kuznetsov. Scaling at the onset of chaos in a
network of logistic maps with two types of global coupling.
Nonlinear Phenomena in Complex Systems, 5, 2002, No 2, 151-154.
192 kB.
S.P.Kuznetsov. Torus fractalization and intermittency.
Phys. Rev., E65, No 6, 2002, 066209.
798 kB.
P.V.Kuptsov, S.P.Kuznetsov, E.Mosekilde. Particle in the Brusselator
model with flow.
Physica D, 163, 2002, 80-88.
528 kB.
P.V. Kuptsov, S.P. Kuznetsov and C. Knudsen. Convective wave front locking for a reaction-diffusion system in a conical flow reactor.
Phys. Lett. A, 294, 2002, Nos 3-4, 210-216.
252 kB.
A.Jalnine and S.-Y.Kim. Characterization of the parameter-mismatching
effect on the loss of chaos synchronization.
Phys. Rev. E, 65, No 2, 2002,
026210.
178 kB.
2001
J.V.Kapustina, A.P.Kuznetsov, S.P.Kuznetsov, and E.Mosekilde.
Scaling properties of bicritical dynamics in unidirectionally coupled
period-doubling systems in the presence of noise.
Phys. Rev. E, 64, No
6, 2001, 066207 (12 pages). 735 kB.
Yu. V. Gulyaev, Yu. V. Kapustina, A. P. Kuznetsov, and S. P. Kuznetsov. On the Scaling Properties of Two Unidirectionally Coupled
Period-Doubling Systems in the Presence of Noise.
Technical Physics Letters, 27, 2001, No. 11, 960–963. 140 kB.
O.B.Isaeva, S.P.Kuznetsov, V.I.Ponomarenko. Mandelbrot Set in Coupled Logistic
Maps and in Electronic Experiment.
Phys. Rev E, 64, No 5, 2001, 055201.
310 kB.
A.P.Kuznetsov, S.P.Kuznetsov, L.V.Turukina, E.Mosekilde. Two-parameter analysis
of the scaling behavior at the onset of chaos: Tricritical and pseudo-tricritical
points.
Physica A, 300, No 3-4, 2001, 367-385. 363 kB.
S.P.Kuznetsov, I.R.Sataev. Universality and scaling for the breakup of phase
synchronization at the onset of chaos in a periodically driven Rossler oscillator.
Phys. Rev. E, 64, No 4, 2001, 046214. 303 kB.
N.Yu.Ivankov, S.P.Kuznetsov. Complex periodic orbits, renormalization and
scaling for quasiperiodic golden-mean transition to chaos.
Phys. Rev. E, 63,
2001, No 4, 046210. 433 kB.
S.P.Kuznetsov, E.Mosekilde. Coupled map lattices with complex order parameter.
Physica A, 291, 2001, No 3-4, 299-316.
446 kB.
2000
B.P.Bezruchko, S.P.Kuznetsov, Ye.P.Seleznev. Experimental observation of
dynamics near the torus-doubling terminal critical point.
Phys.Rev. E, 62,
2000, No 6, 7828-7830. 90 kB.
N.Yu. Ivan'kov, S.P. Kuznetsov. Different types of scaling in dynamics of
period-doubling map under external periodic driving.
Discrete Dynamics in Nature and Society, 5, 2000, No 3, 223-232.
2,18 MB.
S.P.Kuznetsov, E.Neumann, A.Pikovsky, I.R.Sataev. Critical point of tori-collision
in quasiperiodically forced systems.
Phys. Rev. E, 62, 2000, No 2, 1995-2007.
559 kB.
S.P.Kuznetsov. Disheveled Arnold's cat and the problem of quantum-classic
correspondence.
Physica D, 137, 2000, 205-227. 491 kB.
J.Laugesen, E.Mosekilde, T.Bountis, S.P.Kuznetsov. Type-II
Intermittency in a Class of Two Coupled One-Dimensional Maps.
Discrete Dynamics in Nature and Society, 2000, 5, No 3,
233-245. 645 kB.
1999
A.P.Kuznetsov and A.P.Shirokov.
Analysis of scenarios of the transition to chaos in a discrete
two-mode model of a free-electron laser.
Tech. Phys. Lett., 25, 1999, No 6, 469-470.
323 kB.
A.Yu.Zhalnin. Control of chaos in nonautonomous systems with quasiperiodic excitation.
Tech. Phys. Lett., 25, 1999, No 8, 662-664.
260 kB.
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. A variety of period-doubling universality
classes in multi-parameter analysis of transition to chaos.
Physica D, 109,
1997, 91-112. 1311 kB.
S.P.Kuznetsov, E.Mosekilde, G.Dewel, P.Borckmans. Absolute and convective
instabilities in a one-dimensional Brusselator flow model.
J. Chem. Phys., 106(18), 1997, 7609-7616. 307 kB.
S.P.Kuznetsov, I.R.Sataev. Period-doubling for two- dimensional non-invertible
maps: Renormalization group analysis and quantitative universality.
Physica D, 101, 1997, 249-269. 960 kB.
1996
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev and L.O.Chua. Multi-parameter criticality
in Chua's circuit at period-doubling transition to chaos.
International Journal of Bifurcation and Chaos, 6, 1996, No 1, 119-148.
1,7 MB.
S.P.Kuznetsov, I.R.Sataev. Universality and scaling in non-invertible two-dimensional maps.
Physica Scripta, T67, 1996, 184-187.
440 kB.
1995
S.P.Kunetsov, A.S.Pikovsky and U.Feudel. Birth of a strange nonchaotic attractor:
A renormalization group analysis.
Phys. Rev. E, 51, 1995, No 3, R1629-R1632.
533 kB.
1994
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Three-parameter scaling for one-dimensional
maps.
Physics Letters A, 189, 1994, 367-373.
748 kB.
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. From bimodal one-dimensional maps
to Henon-like two-dimensional maps: does quantitative universality survive?
Physics Letters A, 164, 1994. p.413-421. 485 kB.
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Multi-parameter transition to
chaos and fractal nature of critical attractors. In book: Fractals in the
Natural and Applied Sciences. Ed. M.M.Novak. Elsevier Science B.V. (North-Holland),
1994, 229-239.
670 kB.
1993
S.P.Kuznetsov. Renormalization group, universality and scaling in dynamics
of coupled map lattices. In book: Theory and application of coupled map lattices.
Ed. by K.Kaneko. John Wiley & Sons Ltd, 1993, 50-93. 2052 kB.
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev, L.O.Chua. Two-parameter study
of transition to chaos in Chua's circuit: renormalization group, universality
and scaling.
International Journal of Bifurcation and Chaos, 3, 1993,
No 4, 943-962. 3 MB.
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Variety of types of critical
behavior and multistability in period doubling systems with unidirectional
coupling near the onset of chaos.
International Journal of Bifurcation and Chaos, 3, 1993, No.1, 139-152. 1 MB.
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev and L.O.Chua. Self-similarity and
Universality in Chua's Circuit via the approximate Chua's 1-D map.
Journal of Circuits, Systems and Computers, 3, 1993, No 2, 431-440.
400 kB.
1992
S.P.Kuznetsov, I.R.Sataev. New types of critical dynamics for two-dimensional
maps.
Physics Letters A, 162, 1992, No 3, 236-242. 361 kB.
S.P.Kuznetsov. Tricriticality in two-dimensional maps.
Physics Letters A, 169,
1992, No 6, 438-444. 337 kB.
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Multiparametric criticality in
a laser system. Technical Digest Series, 16, 1992, (Opt.Soc.of America, Washington,
D.C.), 209-211.
180 kB.
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Dynamics of Feigenbaum systems
with unidirectional coupling near onset of chaos. The bicritical attractor.
Radio-Physics and Electronics, 35, 1992, No 5, 261-266.
320 kB.
A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Period doubling system under fractal
signal: Bifurcation in the renormalization group equation.
Chaos, Solitons and Fractals, 1, 1991, No 4, 355-367.
970 kB.
E.N.Erastova and S.P.Kuznetsov. On the mechanism for the onset of quasiperiodic
oscillations in coupled Feigenbaum systems.
Sov. Phys. Tech. Phys., 36,
1991, No 2, 130-134.
436 kB.
A.P. Kuznetsov, S.P. Kuznetsov, I.R. Sataev. Influence of a fractal signal on a Feigenbaum system and bifurcation in renormalization group equations.
Radiophysics and Quantum Electronics, 34, 1991, No 6, 556-563.
670 kB.
A.P. Kuznetsov, S. P. Kuznetsov, I.R. Sataev. Critical phenomena in Feigenbaum systems with one-way coupling.
Radiophysics and Quantum Electronics, 34, 1991,
No 4, 299-306. 540 kB.
S.P.Kuznetsov, A.S.Pikovsky. Universality and scaling of period-doubling
bifurcations in a dissipative distributed medium.
Physica D, 19, 1986,
No 3, 384-396. 1 424 kB.
B.P.Bezruchko, Yu.V.Gulyaev, S.P.Kuznetsov, and E.P.Seleznev.
New type of critical behavior of coupled systems at the transition to chaos.
Sov. Phys. Dokl. 31, 1986, No 3, 258-260.
265 kB.
B.P.Bezruchko, V.Yu.Kamenskii, S.P.Kuznetsov, and V.I.Ponomarenko.
Experimental confirmation of universality and scaling for a model oscillator
with delayed feedback.
Sov. Tech. Physics Letters, 14, No 6, 1988, 448-450.
150 kB.
L.V.Bulgakova, S.P.Kuznetsov. Unsteady-state nonlinear processes accompanying
the interaction of an electron beam with an electromagnetic field near the
boundary of a transmission band. I. The high-frequency boundary.
Radiophysics & Quantum Electronics, 31
1988, No 2, 155-166.
870 kB.
L.V.Bulgakova, S.P.Kuznetsov. Unsteady-state nonlinear processes accompanying
the interaction of an electron beam with an electromagnetic field near the
boundary of a transmission band. II. Low-frequency limit.
Radiophysics & Quantum Electronics, 31,
1988, No 5, 452-460.
486 kB.
A.P. Kuznetsov, A.G. Rozhnev. Taking into account dissipation in the wave theory of TWT operating at the limit of the transmission band.
Radiophysics & Quantum Electronics, 31,
1988, No 9, 793-799.
360 kB.
S.P.Kuznetsov, A.S.Pikovsky. Transition from a symmetric to a nonsymmetric regime under conditions
of randomness dynamics in a system of dissipatively coupled recurrence mappings.
Radio-physics and Quantum electronics, 32, 1989, No 1, 41-45.
835 kB.
S.P.Kuznetsov, A.S.Pikovsky. Renormalization group for the response function
and spectrum of the period-doubling system.
Physics Letters A, 140, 1989,
No 4, 166-172. 710 kB.
S.P.Kuznetsov.
A renormalization-group analysis for two unidirectionally coupled
Feigenbaum systems at the hyperchaos threshold.
Radio-Physics and Quantum Electronics, 33, 1990, No 7, 578-581.
360 kB.
S.P.Kuznetsov. Renormalization chaos in period doubling
systems. In book: Nonlinear Waves-3. Eds. A.V.Gaponov-Grekhov,
M.I.Rabinovich, Ju.Engelbrecht. Springer-Verlag, Berlin-Geidelberg, 1990, 262-275.
510 kB.
1977-1985
S.P. Kuznetsov, D.I. Trubetskov. Nonlinear transients during interaction between the electron beam moving in crossed fields and the backward electromagnetic wave.
Radiophysics and Quantum Electronics, 20, 1977, 204-213.
830 kB.
S.P.Kuznetsov, B.P.Bezruchko. Experimental investigation of
nonlinear nonstationary pricesses in a type O backward-wave tube oscillator.
Radiophysics & Quantum Electronics, 21,
1978, No 7, 739-744.
570 kB.
S.P.Kuznetsov. Statistical theory of transient processes in a backward-wave oscillator with crossed fields.
Radiotekhnika i elektronika, 23, 1978, No 3, 385-391.
(in Russian). English translation
560 kB.
B.P. Bezruchko, S.P. Kuznetsov, D.I. Trubetskov. Experimental observation of stochastic self-oscillations in the electron beam – backscattered electromagnetic wave dynamic system.
JETP Lett., 29, 1979, No 3, 162-165.
310 kB.
S.P.Kuznetsov. One form of excitation equations of a periodic waveguide. Radiotekhnika i Elektronika, 25, 1980, 419-421.
English translation. 134 kB.
S.P.Kuznetsov, A.P.Chetverikov. Transient nonlinear theory of an ultrarelativistic
backward-wave tube with an anomalous Doppler effect.
Radiophysics & Quantum Electronics, 24,
1981, No 1, 78-84.
530 kB.
S.P.Kuznetsov Period doubling bifurcations in a simple model of
a distributed system. Izvestija VUZ. Radiofizika, 25, 1982, No 11,
p.1364-1368. (In Russian, English translation
133 kB.)
A.P.Kuznetsov. Nature of the instability in a system of
two weakly coupled waves, Sov. Tech. Phys. Lett., 8, 1982, No 8,
p.408-4098. 177 kB.
B.P.Bezruchko, L.V.Bulgakova, S.P.Kuznetsov, D.I.Trubetskov.
Stochastic self-oscillations in a backward-wave tube.
Radiotekhnika i elektronika, 1983, vol.28, No 6, 1136- 1139. English translation: Radio Engineering and Electronic Physics, 1983, 28, No 6, 76-80.
630 kB.
S.P.Kuznetsov. Critical behavior of one-dimensional chains. Sov. Tech. Physics Letters, 9, 1983, No 1, 41-42.
150 kB.
A.P. Kuznetsov, S.P. Kuznetsov, L.A. Mel'nikov, A.B. Osin, and A.G. Rozhnev. Waves in scale-invariant systems.
Radiophysics and Quantum Electronics, 26, 1983, No 4, 309-315.
458 kB.
A.P.Kuznetsov, S.P.Kuznetsov. Total signal suppression regimes in traveling wave tubes operating
near the limits of the passband. Radiophysics & Quantum Electronics, 1984, Vol.27, p.740-745.
Radiophysics & Quantum Electronics, 27,
1984, No 8, 740-745.
465 kB.
A.P.Kuznetsov, S.P.Kuznetsov. Nonlinear nonstationary equations of interaction
between an electron beam and electromagnetic field near the Brillouin
zone boundary.
Radiophysics & Quantum Electronics, 27,
1984, No 12, 1099-1105.
529 kB.
S.P.Kuznetsov and G.M.Kolosova. On a certain type of universal behavior of coupled systems.
Sov. Phys. JETP,
59, 1984, No 3, 582-585.
450 kB.
S.P.Kuznetsov. Effect of a periodic external perturbation on a system which exhibits an order-chaos transition through
period-doubling bifurcations.
JETP Lett., 39, No 3, 1984, 133-136.
250 kB.
S.P. Kuznetsov. Model description of a chain of coupled dynamic systems near order-disorder phase transitions.
Soviet Physics Journal, 27, 1984, No 6, 522-530.
527 kB.
A.P.Kuznetsov, S.P.Kuznetsov. Problems of Saratov Olympiads
for high-school students in physics.
"Colledge", Saratov, 1994, 52pp. (In Russian.)
A.P.Kuznetsov, S.P.Kuznetsov, L.A.Mel'nikov.
Physical problems for junior researchers.
"Colledge", Saratov, 1998, 32pp. (In Russian.)
A.P.Kuznetsov. Oscillations, Catastrophies, Bifurcations, and Chaos.
"Colledge", Saratov, 2000, 98pp. (In Russian.)
A.P. Kuznetsov, I.R. Sataev N.V. Stankevich, L.V. Turukina.
Physics of quasi-periodic oscillations.
Supplement to Izvestija VUZ. Applied Nonlinear Dynamics. Saratov: Publishing Center "Science ", 2013, 252 pp. (In Russian.)
A.V. Borisov, I.S. Mamaev, S.P. Kuznetsov. Complex dynamics of the rattleback,
chaos and strange attractors. In Book: A.P. Markeev. Body dynamics
in contact with a solid surface. ICS, Moscow - Izhevsk, 2014, 463-492. (In Russian.)
A.P.Kuznetsov. How do physicists work and think? 2-nd Edition (extended). RCD, Moscow - Izhevsk,
2006, 172 pp. (In Russian.)
A.P.Kuznetsov.
Physicists like math too.
Saratov, Science Book, 2010, 36 pp. (In Russian.)
A.P.Kuznetsov, S.P.Kuznetsov, L.A.Mel'nikov, A.V.Savin.
Non-Formal Physics. "Nauchnaja Kniga", Saratov, 2006, 104 pp. (In Russian.)
A.P.Kuznetsov, S.P.Kuznetsov, L.A.Mel'nikov, V.N.Shevtsov.
Olympiad problems in physics. Moscow - Izhevsk, RCD, 2002, 86 pp. (In Russian.)
A.P.Kuznetsov, S.P.Kuznetsov, A.V.Savin, N.V.Stankevich.
Moscow - Izhevsk, RCD, 2009, 176 pp. (In Russian.)
A.P. Kuznetsov, Ju.P. Emelianova, I.R. Sataev, L.V. Turukina.
Saratov: Publishing center "Nauka", 2010, 256 pp. (In Russian.)
A.V. Borisov, I.S. Mamaev, S.P. Kuznetsov. Complex dynamics of the rattleback,
chaos and strange attractors. In Book: A.P. Markeev. Body dynamics
in contact with a solid surface. ICS, Moscow - Izhevsk, 2014, 463-492. (In Russian.)
2025
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