Chaos in a pendulum with forced horizontal support motion: a tutorial
作者： R. Van Dooren
DOI: 10.1016/0960-0779(95)00018-6
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摘要: Abstract This contribution presents a tutorial on chaos in forced pendulum motion. A system with its support along horizontal line is considered. The bifurcation diagram function of the amplitude periodic motion shows several period doubling subharmonic cascades, chaotic motions and windows motions. It illustrated that cascades are governed by Feigenbaum's number from Universality Theory. attractors investigated for their characteristics such as evolution phase plane, computation Liapounov exponents, dimension, power spectrum winding number.
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