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The maximal Lyapunov exponent for a three-dimensional system driven by white noise

✍ Scribed by Jianhua Yang; Xiangmei Cai; Xinbin Liu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
446 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper, based on a perturbation method, the asymptotic expansions of the invariant measure and the maximal Lyapunov exponent for a three-dimensional system excited by a white noise are evaluated. All possible singular boundaries of the first or the second kind that exist in the one-dimensional phase diffusion process are considered and the results of the maximal Lyapunov exponent are obtained. In addition, the P-bifurcation behaviors are investigated.

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