Hyperbolic Chaos and Other Phenomena of Complex Dynamics Depending on Parameters in a Nonautonomous System of Two Alternately Activated Oscillators-Reference-Cited by-同舟云学术

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

Published:2015-11 Issue:12 Volume:25 Page:1530033
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Isaeva Olga B.¹²,Kuznetsov Sergey P.¹²,Sataev Igor R.¹,Savin Dmitry V.²,Seleznev Eugene P.¹³

Affiliation:

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

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127415300335

Reference59 articles.

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3. Dynamical Systems IX

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