Bifurcations of resonant solutions and chaos in physical pendulum equation with suspension axis vibrations

DOI10.1007/s10255-010-0032-zzbMath1206.34054OpenAlexW2024160920MaRDI QIDQ601964

Jian-Ping Yang, Jin Deng, Xiang-Ling Fu

Publication date: 29 October 2010

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-010-0032-z

zbMATH Keywords

chaosbifurcationsaveraging methodMelnikov's methodpendulum equationresonant solutionsuspension axis vibrationsthree frequencies resonances

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Complex behavior and chaotic systems of ordinary differential equations (34C28) Multifrequency systems of ordinary differential equations (34C46)

Cites Work

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• Averaging and Chaotic Motions in Forced Oscillations
• Averaging methods in nonlinear dynamical systems

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