On homoclinic bifurcation system in the presence of stochastic perturbation |
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| Authors: | Liu Xianbin Chen Qiu Chen Dapeng |
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| Affiliation: | (1) Dept. of Applied Mechanics and Eng., Southwest Jiaotong University, 610031 Chengdou, China;(2) Institute of Engineering Science, Southwest Jiaotong University, 610031 Chengdou, China |
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| Abstract: | By virture of the singular point theory for one-dimension diffusion process and the stochastic averaging approach of energy envelop, the bifurcation behavior of a homoclinic bifurcation system, which is in the presence of parametric white noise and is concealed behind a codimension two bifurcation point, is investigated in this paper. Supported by the National Science Foundation of China under Grant No. 19602016. |
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| Keywords: | codimension 2 bifurcation parametric white noise excitation diffusion process singular boundary homoclinic bifurcation stochastic averaging |
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