COMPLEX DYNAMICS IN PENDULUM EQUATION WITH PARAMETRIC AND EXTERNAL EXCITATIONS I

DOI10.1142/S0218127406016525zbMath1183.70052MaRDI QIDQ3498694

Zhu-jun Jing, Jian-Ping Yang

Publication date: 16 May 2008

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

zbMATH Keywords

chaoshomoclinic bifurcationheteroclinic bifurcationMelnikov's method

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (9)

Existence of quasi-periodic solutions of the real pendulum equation ⋮ Bifurcations of resonant solutions and chaos in physical pendulum equation with suspension axis vibrations ⋮ COMPLEX DYNAMICS IN PENDULUM EQUATION WITH PARAMETRIC AND EXTERNAL EXCITATIONS II ⋮ 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 ⋮ 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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• Approximating the Escape Zone for the Parametrically Excited Pendulum
• BIFURCATIONS OF PERIODIC ORBITS IN A JOSEPHSON EQUATION WITH A PHASE SHIFT

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