The analysis of Melnikov process of duffing oscillator in non-Gaussian color noise environment

In this paper, the one DOF Hamiltonian system and complete Duffing equation are studied in details, the methods of random Melnikov process function is introduced. It is found that the non-Gaussian color noise on the chaos character of Duffing oscillator lies on the value of parameters in the model, the non-Gaussian color noise has no effect on system´s ultimate dynamic behavior. The tiny change of sin wave swing scope and frequency will induce the chaotic system behavior great differently, so the parameter can be estimated, 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.