Behavior Analysis of VanDerPol-Duffing oscillator under the excitation of weak sinusoidal signal

This paper Analysis the VanDerPol-Duffing system movement perturb Ted by weak signal under Non-Gaussian noise environment. we educe out the threshold of chaotic movement of VanDerPol-Duffing non-linear system. It is found that the non-Gaussian color noise has little effect on the chaos character of this chaotic oscillator, well the values of parameters of the excitation weak sinusoidal signal appear much change of chaotic dynamic system. The tiny change to the amplitude and frequency of the excitation weak sinusoidal signal will induce the chaotic system behavior great differently, this character help us estimate parameters of weak sinusoidal signal. The simulation result shows that the Non-Gaussian noise has little effect on the nonlinear system movement when it is on chaotic state; while much effect on for Non-Gaussian noise. The conclusions appear that the chaotic oscillator is immune to zero mean non-Gaussian color noise for weak sinusoidal signal frequency and amplitude parameter estimate.