Periodically Forced Linear Oscillator with Impacts: Chaos and Long-Period Motions
- 22 August 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 51 (8) , 623-626
- https://doi.org/10.1103/physrevlett.51.623
Abstract
A simple model is discussed for a periodically forced oscillator with a constraint which leads to motions with impacts. For "perfectly plastic" impacts the dynamics is represented by a discontinuous map defined on the circle. The map is shown to undergo perioddoubling bifurcations followed by complex sequences of transitions, due to the discontinuities, in which arbitrarily long superstable periodic motions occur.Keywords
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