Global bifurcations for the generalized codimension-4 Duffing-Van der Pol equation

Yanbin Liu and Yushu Chen

Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (1) : 69-72,1.

PDF(1747 KB)
PDF(1747 KB)
Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (1) : 69-72,1.
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Global bifurcations for the generalized codimension-4 Duffing-Van der Pol equation

  • Yanbin Liu and Yushu Chen
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Abstract

The Taylor series of Melnikov function is used to study the bifurcation of nonlinear systems with high codimension in this paper. The method is approved feasible by analyzing the generalized codimension-4 Duffing-Van der Pol equation. The results shown that there is the phenomena of multiple limit cycles, limit cycle and heteroclinic loop, heteroclinic loop are possible. Finally the numerical solutions are given to show that the analysis results are correct.

Key words

global bifurcation / codimension / Melnikov function / heteroclinic loop

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Yanbin Liu and Yushu Chen. Global bifurcations for the generalized codimension-4 Duffing-Van der Pol equation [J]. Journal of Vibration and Shock, 2011, 30(1): 69-72,1
PDF(1747 KB)

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