Periodic Motions to Chaos in Pendulum

DOI10.1142/S0218127416501595zbMath1347.70032OpenAlexW2518187020MaRDI QIDQ2827035

Albert C. J. Luo, Yu Guo

Publication date: 12 October 2016

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

Full work available at URL: https://doi.org/10.1142/s0218127416501595

zbMATH Keywords

periodic motionsnonlinear pendulumbifurcation trees to chaosdual-helix switchingnontravelable periodic motiontravelable periodic motions

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Related Items (5)

Bifurcation and chaos in a bearing system ⋮ Multistability and Hidden Attractors in the Dynamics of Permanent Magnet Synchronous Motor ⋮ Global Dynamics of an Elliptically Excited Pendulum Model ⋮ Periodic motions to chaos in a nonlinear rotor system ⋮ Phase Shadows: An Enhanced Representation of Nonlinear Dynamic Systems

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