On Nonlinear Dynamics of the Pendulum with Periodically Varying Length
arXiv:0910.3802 · doi:10.1016/j.physd.2009.04.015
Abstract
Dynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the pendulum with periodically varying length which is also treated as a simple model of child's swing. Asymptotic expressions for boundaries of instability domains near resonance frequencies are derived. Domains for oscillation, rotation, and oscillation-rotation motions in parameter space are found analytically and compared with numerical study. Two types of transitions to chaos of the pendulum depending on problem parameters are investigated numerically.
8 pages, 8 figures
References in corpus (1)
Cited by in corpus (6)
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