Behavior Evolution of Duffing Oscillator

In this paper, the methods of random Melnikov process function are introduced to educe out the threshold of chaotic movement of non-linear system. We found that the non-Gaussian color noise effect on the chaos character of Duffing oscillator is decided by the value of parameters in the model, the non-Gaussian color noise has little effect on the system´s ultimate dynamic behavior when the system is in the chaotic behavior. The tiny change of sin wave swing scope and frequency will induce the chaotic system behavior great differently, the parameters can be estimated through this change, and the numerical results confirm the conclusion that the chaotic oscillator is immune to zero mean square non-Gaussian color noise for sin wave frequency and scope parameter estimate.