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Volume 1, Issue 2
Chaotic Behavior and Subharmonic Bifurcations for the Duffing-Van Der Pol Oscillator

Hong Li, Lilin Ma & Wenjing Zhu

DOI: 10.12150/jnma.2019.237

J. Nonl. Mod. Anal., 1 (2019), pp. 237-250.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JNMA-1-237, author = {Li , HongMa , Lilin and Zhu , Wenjing}, title = {Chaotic Behavior and Subharmonic Bifurcations for the Duffing-Van Der Pol Oscillator}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.237}, url = {http://global-sci.org/intro/article_detail/jnma/18860.html} }
TY - JOUR T1 - Chaotic Behavior and Subharmonic Bifurcations for the Duffing-Van Der Pol Oscillator AU - Li , Hong AU - Ma , Lilin AU - Zhu , Wenjing JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 237 EP - 250 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.237 UR - https://global-sci.org/intro/article_detail/jnma/18860.html KW - Chaotic behavior, subharmonic bifurcations, Duffing-van der Pol oscillator, Melnikov function. AB -

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.

Hong Li, Lilin Ma & Wenjing Zhu. (1970). Chaotic Behavior and Subharmonic Bifurcations for the Duffing-Van Der Pol Oscillator. Journal of Nonlinear Modeling and Analysis. 1 (2). 237-250. doi:10.12150/jnma.2019.237
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