Transition to Chaos in the Self-Excited System with a Cubic Double Well Potential and Parametric Forcing

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We examine the Melnikov criterion for a global homoclinic bifurcation and a possible transition to chaos in case of a single degree of freedom nonlinear oscillator with a symmetric double well nonlinear potential. The system was subjected simultaneously to parametric periodic forcing and self excitation via negative damping term. Detailed numerical studies confirm the analytical predictions and show that transitions from regular to chaotic types of motion are often associated with increasing the energy of an oscillator and its escape from a single well.
23 pages, 9 figures

Keywords

Chaotic Dynamics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/107804

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0601032
 http://arxiv.org/abs/nlin/0601032

Collections

arXiv