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

Authors

  • Hong Li Department of Mathematics, Jiujiang University, Jiujiang, Jiangxi 332005,China 
  • Lilin Ma
  • Wenjing Zhu

DOI:

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

Keywords:

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

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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Published

2024-04-10

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Issue

Vol. 1 No. 2 (2019)

Section

Articles

How to Cite

Chaotic Behavior and Subharmonic Bifurcations for the Duffing-Van Der Pol Oscillator. (2024). Journal of Nonlinear Modeling and Analysis, 1(2), 237-250. https://doi.org/10.12150/jnma.2019.237