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 - <p style="text-align: justify;">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.</p>