BISTABLE PHASE SYNCHRONIZATION AND CHAOS IN A SYSTEM OF COUPLED VAN DER POL–DUFFING PSCILLATORS-Reference-Cited by-同舟云学术

BISTABLE PHASE SYNCHRONIZATION AND CHAOS IN A SYSTEM OF COUPLED VAN DER POL–DUFFING PSCILLATORS

Published:1999-12 Issue:12 Volume:09 Page:2271-2277
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

KOZLOV A. K.¹,SUSHCHIK M. M.¹,MOLKOV Ya. I.¹,KUZNETSOV A. S.¹

Affiliation:

1. Institute of Applied Physics, Russian Academy of Sciences, 46 Uljanov St., Nizhny Novgorod 603600, Russia

Abstract

Analysis of numerical solutions for a system of two van der Pol–Duffing oscillators with nonlinear coupling showed that there exist chaotic switchings (occurring at irregular time intervals) between two oscillatory regimes differing by nearly time-constant phase shifts between the coupled subsystems. The analysis includes the investigation of bifurcations of the periodic motions corresponding to synchronization of two subsystems, finding stability regions of synchronization regimes and scenarios of the transitions to chaos.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499001747

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