The Analysis of Melnikov process of Duffing Oscillator in Non-Gaussian Color Noise Environment

摘要：

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 systems 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.

关键词： doffing non-Gaussian color noise random Melnikov process

作者: Wensuo Yi Jihong Song

作者单位: Department of Electronic Information Engineering Changchun University Changchun, China

会议类型: 国际会议

会议名称: 2011 4th International Congress on Image and Signal Processing(第四届图像与信号处理国际学术会议 CISP 2011)

会议地点: 上海

会议语种:英文

页码: 316-319

在线出版日期: 2011-10-15（万方平台首次上网日期，不代表论文的发表时间）