Erosion of safe basins in a nonlinear oscillator under bounded noise excitation
作者： Haiwu Rong , Xiangdong Wang , Wei Xu , Tong Fang
DOI: 10.1016/J.JSV.2007.11.046
关键词: Bifurcation 、 Erosion (morphology) 、 Control theory 、 Harmonic 、 Mathematical analysis 、 Mathematics 、 Noise (electronics) 、 Critical value 、 Nonlinear system 、 Attractor 、 Bounded function
摘要: The erosion of the safe basins a quadratic nonlinearity oscillator under harmonic or bounded random noise excitations is studied in detail by Monte-Carlo method. It found that small disturbance may destroy integrity basins, thus making system less safe. However, numerical results show increasing system's damping and decreasing enlarge original integral basins. As an alternative definition, stochastic bifurcation be defined as sudden change character when parameter passes through critical value, which different from previous ones authors, where attractor value.
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