Complex dynamics in Duffing-Van der Pol equation

DOI10.1016/j.chaos.2005.04.044zbMath1083.37061OpenAlexW1978767465MaRDI QIDQ813563

Tao Jiang, Zhu-jun Jing, Zhi-Yan Yang

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.044

zbMATH Keywords

Lyapunov exponentsphase portraitsperiodic perturbationbifurcation diagramsnumerical simulationaveraging methodPoincaré mapchaotic attractorschaotic motionsMelnikov methodperiod-doublingquasi-periodic orbitssymmetry-breakingheteroclinic and homoclinic bifurcation surfaces

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Random vibrations in mechanics of particles and systems (70L05) Averaging method for ordinary differential equations (34C29) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

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