Bifurcation Dynamics of a Damped Parametric Pendulum

DOI10.2200/S00956ED1V01Y201910MEC022zbMath1454.70001OpenAlexW2992521436MaRDI QIDQ5211839

Albert C. J. Luo, Yu Guo

Publication date: 28 January 2020

Published in: Synthesis Lectures on Mechanical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2200/s00956ed1v01y201910mec022

zbMATH Keywords

parametric pendulumperiodic motionsbifurcation trees to chaostravelable periodic motionsfrequency-amplitude-characteristicsnon-travelable periodic motion

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Optimal analytical and numerical approximations to the (un)forced (un)damped parametric pendulum oscillator

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