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Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises
Authors:Chen Huiqin  Duan Jinqiao  Zhang Chengjian
Affiliation:1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China;2. School of Mathematics and Computer Science, Jianghan University, Wuhan 430056, China;3. Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA
Abstract:Nonlinear dynamical systems are sometimes under the influence of random fluctuations. It is desirable to examine possible bifurcations for stochastic dynamical systems when a parameter varies.
Keywords:stochastic dynamical systems   non-Gaussian Lé  vy motion    vy jump measure   stochastic bifurcation   impact of non-Gaussian noises
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