Chaotic Behavior and Subharmonic Bifurcations for the Duffing-Van Der Pol Oscillator

Chaotic Behavior and Subharmonic Bifurcations for the Duffing-Van Der Pol Oscillator

Year:    2019

Author:    Hong Li, Lilin Ma, Wenjing Zhu

Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 237–250

Abstract

Chaotic behavior for the Duffing-van der Pol (DVP) oscillator is investigated both analytically and numerically. The critical curves separating the chaotic and non-chaotic regions are obtained. The chaotic features on the system parameters are discussed in detail. The conditions for subharmonic bifurcations are also obtained. Numerical results are given, which verify the analytical ones.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2019.237

Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 237–250

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Chaotic behavior subharmonic bifurcations Duffing-van der Pol oscillator Melnikov function.

Author Details

Hong Li

Lilin Ma

Wenjing Zhu