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The maximal Lyapunov exponent of a co-dimension two-bifurcation system excited by a bounded noise

โœ Scribed by Sheng-Hong Li, Xian-Bin Liu

Book ID
113060009
Publisher
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Year
2012
Tongue
English
Weight
481 KB
Volume
28
Category
Article
ISSN
0567-7718

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The maximal Lyapunov exponent for a three-dimensional system driven by white noise
โœ Jianhua Yang; Xiangmei Cai; Xinbin Liu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 446 KB

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-dimensiona