GENERAL

Period-Doubling Cascades and Strange Attractors in Extended Duffing-Van der Pol Oscillator

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2009 Chinese Physical Society and IOP Publishing Ltd
, , Citation Yu Jun et al 2009 Commun. Theor. Phys. 51 865 DOI 10.1088/0253-6102/51/5/22

0253-6102/51/5/865

Abstract

The dynamical behavior of the extended Duffing-Van der Pol oscillator is investigated numerically in detail. With the aid of some numerical simulation tools such as bifurcation diagrams and Poincaré maps, the different routes to chaos and various shapes of strange attractors are observed. To characterize chaotic behavior of this oscillator system, the spectrum of Lyapunov exponent and Lyapunov dimension are also employed.

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10.1088/0253-6102/51/5/22