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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 NameAffiliation
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.