Subharmonic bifurcations in a pendulum parametrically excited by a non-harmonic perturbation

DOI10.1016/S0960-0779(97)00181-1zbMath0990.70017MaRDI QIDQ1809581

Miguel A. F. Sanjuán

Publication date: 5 August 2002

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

zbMATH Keywords

pendulumhomoclinic bifurcationselliptic functionrotating motionnon-harmonic periodic oscillationsubharmonic Melnikov functions

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

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Cites Work

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• Experiments on periodic and chaotic motions of a parametrically forced pendulum
• Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
• Elliptic functions and applications
• Lyapunov exponents for a Duffing oscillator
• Rotating periodic orbits of the parametrically excited pendulum
• The Melnikov Theory for Subharmonics and Their Bifurcations in Forced Oscillations