COMPLEX DYNAMICS IN PENDULUM EQUATION WITH PARAMETRIC AND EXTERNAL EXCITATIONS II

DOI10.1142/S0218127406016653zbMath1188.70058OpenAlexW4245880166MaRDI QIDQ3498707

Zhu-jun Jing, Jian-Ping Yang

Publication date: 16 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127406016653

zbMATH Keywords

quasiperiodicityaveraging methodMelnikov's method

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43)

Related Items (9)

Existence of quasi-periodic solutions of the real pendulum equation ⋮ Unnamed Item ⋮ Chaos control in a pendulum system with excitations ⋮ COMPLEX DYNAMICS IN A PENDULUM EQUATION WITH A PHASE SHIFT ⋮ Complex dynamics in physical pendulum equation with suspension axis vibrations ⋮ Unnamed Item ⋮ Chaos control in a special pendulum system for ultra-subharmonic resonance ⋮ Global Dynamics of an Elliptically Excited Pendulum Model ⋮ Chaos control in a pendulum system with excitations and phase shift

Cites Work

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• Second-order averaging and chaos in quasiperiodically forced weakly nonlinear oscillators
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• SECOND-ORDER AVERAGING AND MELNIKOV ANALYSES FOR FORCED NON-LINEAR OSCILLATORS
• COMPLEX DYNAMICS IN PENDULUM EQUATION WITH PARAMETRIC AND EXTERNAL EXCITATIONS I
• Averaging and Chaotic Motions in Forced Oscillations

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