Coupled chaotic generator and multi-frequency quasi-periodic system
Kuznetsov A. P.1, Turukina L. V.1
1Saratov Branch, Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Saratov, Russia
Email: turukinalv@yandex.ru

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The interaction of the system with chaos (Kislov-Dmitriev generator) and multi-frequency quasi-periodic oscillations (ensemble of van der Pol generators) is considered. Bifurcations of doubling of a high-dimensional invariant torus and the emergence of chaos upon its destruction are revealed. A cascade of specific bifurcations of a chaotic attractor has been discovered, corresponding to the appearance of a different number of additional zero Lyapunov exponents. The stability of the Landau-Hopf scenario during interaction with a chaotic subsystem is shown. Keywords: chaotic generator, quasi-periodicity, Lyapunov exponents, bifurcations.
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