| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 759233 | Communications in Nonlinear Science and Numerical Simulation | 2010 | 9 Pages |
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.
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Authors
Jianhua Yang, Xiangmei Cai, Xinbin Liu,