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Period-doubling cascades and strange attractors in the triple-well phi(6)-Van der Pol oscillator  ( SCI-EXPANDED收录 CPCI-S收录)   被引量:6

文献类型:会议论文

英文题名:Period-doubling cascades and strange attractors in the triple-well phi(6)-Van der Pol oscillator

作者:Yu, Jun[1,2];Zhang, Rongbo[1];Pan, Weizhen[1];Schimansky-Geier, L.[2]

机构:[1]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China;[2]Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

会议论文集:Maurice Jacob Memorial Meeting

会议日期:SEP 11, 2007

会议地点:CERN, Geneva, SWITZERLAND

主办单位:CERN

语种:英文

外文摘要:Duffing-Van der Pol equation with the fifth nonlinear-restoring force is investigated. The bifurcation structure and chaotic motion under the periodic perturbation are obtained by numerical simulations. Numerical simulations, including bifurcation diagrams, Lyapunov exponents, phase portraits and Poincare maps, exhibit some new complex dynamical behaviors of the system. Different routes to chaos, such as period doubling and quasi-periodic routes, and various kinds of strange attractors are also demonstrated.

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