Chaotic motion of the dynamical system under both additive and multiplicative noise excitations

• 来源期刊: 中国物理B（英文版）
• 关键词: Melnikov theory bounded noise Lyapunov exponent Poincaré map
• 年，卷（期）: 2008,（2）
• 页码范围: 557-568
• 页数: 12页
• 语种: 英文

摘要

With both additive and multiplicative noise excitations,the effect on the chaotic behaviour of the dynamical system is investigated in this paper.The random Melnikov theorem with the mean-square criterion that applies to a type of dynamical systems is analysed in order to obtain the conditions for the possible occurrence of chaos.As an example,for the Duffing system,we deduce its concrete expression for the threshold of multiplicative noise amplitude for the rising of chaos,and by combining figures,we discuss the influences of the amplitude,intensity and frequency of both bounded noises on the dynamical behaviour of the Duffing system separately.Finally,numerical simulations are.