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Period-doubling cascades and strange attractors in extended duffing-Van der Pol oscillator. (English) Zbl 1172.37313

Summary: 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.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
34C23 Bifurcation theory for ordinary differential equations
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