Analysis of VanDerPol oscillator under excitation of non-Gaussian bounded noise

Abstract

This paper research the non-linear system VanDerPol-Duffing oscillator behavior under the excitation of weak signal and non-Gaussion bounded noise based on random Melnikov methods, we find out the non-Gaussion bounded noise has little effect on the chaotic system, as for the bigger wiener process parameters, the gate value of the chaotic movement will be more bigger with the strength of non-Gaussion bounded noise. This paper researches the chaotic movement character under the excitation of weak signal and non-Gaussion bounded noise.