Title of article
The maximal Lyapunov exponent for a three-dimensional system driven by white noise
Author/Authors
Yang، نويسنده , , Jianhua and Cai، نويسنده , , Xiangmei and Liu، نويسنده , , Xinbin، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
9
From page
3498
To page
3506
Abstract
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.
Keywords
Singular boundary , invariant measure , Maximal Lyapunov exponent , P-bifurcation
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2010
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1535443
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