Oscillations, waves and complex dynamics in distributed systems
Absolute and convective instability in active systems
- S.P. Kuznetsov.
Nature of the instability in a system of two weakly coupled waves. Sov. Tech. Phys. Lett., 8, 1982, No 8, p.408-409.
- 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.
- S.P. Kuznetsov.
Absolute and convective instability and pattern formation in a model of distributed reaction-diffusion system with flow. Izvestiya VUZ, Applied Nonlinear Dynamics, 7, 1999, No 4, 3-19.
- 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, pp. 633-658.
Properties of universality and scaling of spatial structures at the threshold of chaos
- S.P. Kuznetsov.
Renormalization group, universality, and scaling in the dynamics of one-dimensional autowave media. Radio-physics and Quantum electronics, 29, 1986, No 8, 679-692.
- 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.
- A.P. Kuznetsov, S.P. Kuznetsov.
Spatial structures in dissipative media at the threshold of chaos. Radiophysics and Quantum Electronics, 34, 1991, No 2, 124-128.
Pattern dynamics in reaction – diffusion systems
- P.V. Kuptsov, S.P. Kuznetsov, E. Mosekilde.
Particle in the Brusselator model with flow. Physica D 163, 2002, P. 80-88.
- 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.
- 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.
- 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.
Effect of noise on patterns in reaction-diffusion systems
Hyperbolic chaos in distributed systems
- P.V. Kuptsov, S.P. Kuznetsov, A. Pikovsky.
Hyperbolic Chaos of Turing Patterns. Phys. Rev. Lett., 108, 2012, 194101.
- O.B. Isaeva, A.S. Kuznetsov, S.P. Kuznetsov Hyperbolic chaos in parametric oscillations of a string.
Rus. J. Nonlin. Dyn., 9, 2013, No 1, 3-10.
- 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.
- V.P.Kruglov, A.S.Kuznetsov, S.P.Kuznetsov.
Hyperbolic chaos in systems with parametrically excited patterns of standing waves. Rus. J. Nonlin. Dyn., 10, 2014, No 3, 265-277.
- V.P. Kruglov.
Technique and results of numerical test for hyperbolic nature of attractors for reduced models of distributed systems. Izvestiya VUZ, Applied Nonlinear Dynamics, 22, 2014, No 6, 79-93.
- 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.
Dynamics of oscillator networks
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P.V. Kuptsov, A.V. Kuptsova.
Radial and circular synchronization
clusters in extended starlike network of van der Pol oscillators.
Communications in Nonlinear Science and Numerical Simulation, 50, 2017, 115-127.
- 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.
- P.V. Kuptsov and
A.V. Kuptsova. Variety of regimes of starlike
networks of Hénon maps.
Phys. Rev. E, 92, 2015, 042912.
- P. V. Kuptsov
Dynamics of small stars and chains of spin-torque oscillators
coupled via magnetic fields.
Saratov Group
of
theoretical nonlinear
dynamics