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Theoretical  Nonlinear  Dynamics

includes collaborators from Saratov Branch of Institute of Radio-Engineering and Electronics of Russian Academy of Sciences, Institute of Physics of Saratov State University, and from Yuri Gagarin State Technical University of Saratov.

Professor, Doctor of Sciences Sergey Kuznetsov and Professor, Doctor of Sciences Alexander Kuznetsov.

Plykin attractor on a sphere


• Realization of abstract models and phenomena of nonlinear dynamics
• Two-parameter analysis of nonlinear systems. Atlas of charts of dynamical regimes
• Critical dynamics at the onset of chaos and renormalization group.
• Quasiperiodic dynamics and strange nonchaotic attractors.
• Coupled map lattices.
• Complex analytic maps and their application to physical systems.
• Quantum chaos.
• Transitions to chaos in presence of noise.
• Numerical algorithms for nonlinear dynamics.
• Systems with catastrophes.
• Complex dynamics of spatially extended systems.

• The project "Radiophysical modeling of complex behavior of systems of various nature and dimension in the framework of universal approaches of nonlinear dynamics and oscillation theory" is performed in 2021-2023. under supervision of P.V. Kuptsov under support of Russian Science Foundation, grant No 21-12-00121 in Kotelnikov's Institute of Radio-Engineering and Electronics of Russian Academy of Sciences (Saratov Branch).
• The project "Complex dynamics of nonlinear mechanical and radio physical systems and its applications" was performed in 2015-2017 with prolongation in 2018-2019 under supervision of S.P. Kuznetsov under support of Russian Science Foundation , grant No 15-12-20035 in the Udmurt State University (Izhevsk)
• The project "Implementation of electronic devices manifesting different phenomena of nonlinear dynamics and their applications including analog modeling systems of different nature" was performed in 2017-2019 under supervision of E.P. Seleznev under support of Russian Science Foundation, grant No 17-12-01008, in Kotelnikov's Institute of Radio-Engineering and Electronics of Russian Academy of Sciences (Saratov Branch)
• The project "Rough chaos generators of high and ultrahigh frequencies" was performed in 2017-2019 under supervision of S.P. Kuznetsov under support of Russian Foundation of Basic Research, grant No 16-02-00135, in Kotelnikov's Institute of Radio-Engineering and Electronics of Russian Academy of Sciences (Saratov Branch)
• Leading scientific school of Russia "Fundamental problems of nonlinear dynamics and their applications" is supported by a grant of the President of the Russian Federation NSh-1726.2014.2