Rotating solutions of the parametrically excited pendulum

DOI10.1016/S0022-460X(02)01435-9zbMath1237.34080OpenAlexW1968529879MaRDI QIDQ2882262

Winston Garira, Steven R. Bishop

Publication date: 3 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-460x(02)01435-9

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)

Related Items (14)

Existence of quasi-periodic solutions of the real pendulum equation ⋮ Iterative harmonic balance for period-one rotating solution of parametric pendulum ⋮ COMPLEX DYNAMICS IN PENDULUM EQUATION WITH PARAMETRIC AND EXTERNAL EXCITATIONS I ⋮ Stochastic synchronization of rotating parametric pendulums ⋮ Dynamics of a parametrically excited system with two forcing terms ⋮ Chaos control in a pendulum system with excitations ⋮ COMPLEX DYNAMICS IN A PENDULUM EQUATION WITH A PHASE SHIFT ⋮ APPROXIMATE ROTATIONAL SOLUTIONS OF PENDULUM UNDER COMBINED VERTICAL AND HORIZONTAL EXCITATION ⋮ BIFURCATION CONTROL OF A PARAMETRIC PENDULUM ⋮ SYNCHRONIZATION OF SLOWLY ROTATING PENDULUMS ⋮ Synchronous states of slowly rotating pendula ⋮ Experimental versus theoretical robustness of rotating solutions in a parametrically excited pendulum: a dynamical integrity perspective ⋮ Complex dynamics in physical pendulum equation with suspension axis vibrations ⋮ Chaos control in a special pendulum system for ultra-subharmonic resonance

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