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| Chaotic Behavior and Subharmonic Bifurcationsfor the Duffing-van Der Pol Oscillator |
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| KeyWord:Chaotic behavior subharmonic bifurcations Duffing-van der Pol
oscillator Melnikov function |
| Author Name | Affiliation | | Hong Li | Department of Mathematics, Jiujiang University, Jiujiang, Jiangxi 332005,
China | | Lilin Ma | Information Technology Center, Jiujiang University, Jiujiang, Jiangxi 332005,
China | | Wenjing Zhu | Department of Mathematics,China Jiliang University, Hangzhou, Zhejiang
310018, China |
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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 feature 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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