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Hyperbolic Chaos and Other Phenomena of Complex Dynamics Depending on Parameters in a Nonautonomous System of Two Alternately Activated Oscillators

Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelenaya 38, Saratov 410019, Russian Federation

Department of Nonlinear Processes, Chernyshevsky Saratov State University, Astrahkanskaya 83, Saratov 410012, Russian Federation

E-mail Address: isaevao@rambler.ru

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Sergey P. Kuznetsov

Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelenaya 38, Saratov 410019, Russian Federation

Department of Nonlinear Processes, Chernyshevsky Saratov State University, Astrahkanskaya 83, Saratov 410012, Russian Federation

E-mail Address: spkuz@yandex.ru

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Igor R. Sataev

Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelenaya 38, Saratov 410019, Russian Federation

E-mail Address: sataevir@rambler.ru

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Dmitry V. Savin

Department of Nonlinear Processes, Chernyshevsky Saratov State University, Astrahkanskaya 83, Saratov 410012, Russian Federation

E-mail Address: savin.dmitry.v@gmail.com

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Eugene P. Seleznev

Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelenaya 38, Saratov 410019, Russian Federation

Department of Nano- and Biomedical Technology, Chernyshevsky Saratov State University, Astrakhanskaya 83, Saratov 410012, Russian Federation

E-mail Address: evgenii_seleznev@mail.ru

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https://doi.org/10.1142/S0218127415300335Cited by:9 (Source: Crossref)

Abstract

We provide a multiparameter analysis of dynamics in a nonautonomous system of two alternately exciting self-oscillatory elements that are able to demonstrate a uniformly chaotic attractor of Smale–Williams type in the stroboscopic Poincaré map. Parameter space charts of regular and chaotic regimes are presented. Possible scenarios of the onset of hyperbolic chaos are discussed. The numerical studies are supplemented by experimental results obtained for a laboratory electronic device.

Keywords:

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