Chaotic motion of Van der Pol–Mathieu–Duffing system under bounded noise parametric excitation

@inproceedings{Li2008ChaoticMO,
  title={Chaotic motion of Van der Pol–Mathieu–Duffing system under bounded noise parametric excitation},
  author={Jiaorui Li and Wei Xu and XiaoLi Yang and Zhongkui Sun},
  year={2008}
}
Abstract The chaotic behavior of Van der Pol–Mathieu–Duffing oscillator under bounded noise is investigated. By using random Melnikov technique, a mean square criterion is used to detect the necessary conditions for chaotic motion of this stochastic system. The results show that the threshold of bounded noise amplitude for the onset of chaos in this system increases as the intensity of the noise in frequency increases, which is further verified by the maximal Lyapunov exponents of the system… CONTINUE READING