Suppression of chaos by weak resonant excitations in a non-linear oscillator with a non-symmetric potential

Grzegorz Litak, Arkadiusz Syta and Marek Borowiec

Chaos, Solitons & Fractals, 2007, vol. 32, issue 2, 694-701

Abstract: We examine the Melnikov criterion for transition to chaos in case of one degree of freedom non-linear oscillator with non-symmetric potential. This system, when subjected to an external periodic force, shows homoclinic transition from regular vibrations to chaos just before escape from a potential well. We focus especially on the effect of a second resonant excitation with a different phase on the system transition to chaos. We propose a way of its control.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:2:p:694-701

DOI: 10.1016/j.chaos.2005.11.026

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