Homoclinic Bifurcation and Chaos in a Noise-Induced Φ6 Potential

The present paper focuses on the noise-induced chaos in a Φ6 oscillator with nonlinear damping. Based on the stochastic Melnikov approach, simple zero points of the stochastic Melnikov integral theoretically mean the necessary condition causing noise-induced chaotic responses in the system. To quant...

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Bibliographic Details
Main Authors: Gen Ge, Zhi Wen Zhu, Jia Xu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/314328