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2013
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# Nataliya Stankevich

410054, Saratov, Politehnicheskaya str., 77
Yuri Gagarin State Technical University of Saratov

## Publications:

 Stankevich N. V., Dvorak A., Astakhov V. V., Jaros P., Kapitaniak M., Perlikowski P., Kapitaniak T. Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators 2018, vol. 23, no. 1, pp.  120-126 Abstract The dynamics of two coupled antiphase driven Toda oscillators is studied. We demonstrate three different routes of transition to chaotic dynamics associated with different bifurcations of periodic and quasi-periodic regimes. As a result of these, two types of chaotic dynamics with one and two positive Lyapunov exponents are observed. We argue that the results obtained are robust as they can exist in a wide range of the system parameters. Keywords: chaos, hyperchaos, Toda oscillator Citation: Stankevich N. V., Dvorak A., Astakhov V. V., Jaros P., Kapitaniak M., Perlikowski P., Kapitaniak T.,  Chaos and Hyperchaos in Coupled Antiphase Driven Toda Oscillators, Regular and Chaotic Dynamics, 2018, vol. 23, no. 1, pp. 120-126 DOI:10.1134/S1560354718010094
 Kuptsov P. V., Kuznetsov S. P., Stankevich N. V. A Family of Models with Blue Sky Catastrophes of Different Classes 2017, vol. 22, no. 5, pp.  551-565 Abstract A generalized model with bifurcations associated with blue sky catastrophes is introduced. Depending on an integer index $m$, different kinds of attractors arise, including those associated with quasi-periodic oscillations and with hyperbolic chaos. Verification of the hyperbolicity is provided based on statistical analysis of intersection angles of stable and unstable manifolds. Keywords: dynamical system, blue sky catastrophe, quasi-periodic oscillations, hyperbolic chaos, Smale–Williams solenoid Citation: Kuptsov P. V., Kuznetsov S. P., Stankevich N. V.,  A Family of Models with Blue Sky Catastrophes of Different Classes, Regular and Chaotic Dynamics, 2017, vol. 22, no. 5, pp. 551-565 DOI:10.1134/S1560354717050069