Analysis of dynamic behavior for Vanderpol oscillator under the single-input periodic signal

This paper addresses the dynamic behavior of for Vandepol oscillator under the single-input periodic signal turbulent in non-Gaussian color noise environments, the methods of State space analysis methods are introduced to educe out the threshold of chaotic movement of non-linear system. It is found that the chaotic threshold is decided by the value of parameters in the Vandepol oscillator; the non-Gaussian color noise has little effect on the system´s ultimate dynamic behavior when the oscillator is in the chaotic behavior. The parameters slight changes of single-input periodic signal will induce the great differently of dynamic behavior. Numerical results confirm our conclusion that the Vandepol oscillator is immune to zero mean square non-Gaussian color noise.