Journal
CHAOS SOLITONS & FRACTALS
Volume 41, Issue 2, Pages 772-782Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2008.03.013
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Funding
- Spanish Ministry of Science and Technology [BFM200303081]
- Spanish Ministry of Education and Science [FIS2006-08525, SB2004-002]
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We examine the chaotic behavior of all extended Rayleigh oscillator in a three-well potential under additive parametric and external periodic forcing for it specific parameter choice. By applying Melnikov method, we obtain the condition for the existence of homoclinic and heteroclinic chaos. The numerical solution of the system using a fourth-order Runge-Kutta method confirms the analytical predictions and shows that the transition from regular to chaotic motion is often associated with increasing the energy of an oscillator. An analysis of the basins of attraction showing fractal patterns is also carried out. (C) 2008 Elsevier Ltd. All rights reserved.
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