Methods of Duffing Oscillator Chaotic Movement for Sine Wave Parameter Estimation
Nie Chun-yan · Jiliang xuebao · 2006
A dynamic system which is very sensitive to weak sine wave parameters is established,the multi-parameter complete Duffing equation is studied in detail.Methods of random Melnikov process function are introduced to analyze the equation and the differential trajectory,the influence of non-Gaussian color noise on Duffing oscillator chaotic motion behavior is also studied,a new chaotic method for the sine wave parameter estimation in non-Gaussian color noise environment is given.The theoretic analysis and the numerical result confirm the conclusion that the chaotic oscillator is immune to zero mean-square non-Gaussian color noise and very sensitive to weak variation for sine wave parameters.