An Improved Method of Detecting Chaotic Motion for Rotor-Bearing Systems  

作　　者：师名林 王德忠 张继革 

机构地区：[1]School of Mechanical Engineering,Shanghai Jiaotong University

出　　处：《Journal of Shanghai Jiaotong university(Science)》2013年第2期229-236,共8页上海交通大学学报（英文版）

基　　金：the National Basic Research Program (973) of China (No. 2009CB724302)

摘　　要：Based on reconstructing the phase space and calculating the largest Lyapunov exponent, an improved method of detecting chaotic motion is presented for rotor-bearing systems. The method is an improvement to the Wolf method and the Rosenstein algorithm. The improved method introduces the correlation integral function method to estimate the embedding dimension and the reconstruction delay simultaneously, and it makes tracks for the evolutions of every pair of the nearest neighbors to improve the utilization of the reconstructed phase space. Numerical calculation and experimental verification show that the improved method can estimate the proper reconstruction parameters and detect chaotic motion of rotor-bearing systems accurately. In addition, the analytical results show that the current approach is robust to variations of the embedding dimension and the reconstruction delay, and it is applicable to small data sets.Based on reconstructing the phase space and calculating the largest Lyapunov exponent, an improved method of detecting chaotic motion is presented for rotor-bearing systems. The method is an improvement to the Wolf method and the Rosenstein algorithm. The improved method introduces the correlation integral function method to estimate the embedding dimension and the reconstruction delay simultaneously, and it makes tracks for the evolutions of every pair of the nearest neighbors to improve the utilizatkm of the reconstructed phase space. Numerical calculation and experimental verification show that the improved method can estimate the proper reconstruction parameters and detect chaotic motion of rotor-bearing systems accurately. In addition, the analytical results show that the current approach is robust to variations of thc elnbedding dimension and the reconstruction delay, and it is applicable to small data sets.

关 键 词：ROTOR-BEARING phase space reconstruction Lyapunov exponent chaotic motion 

分 类 号：TL353[核科学技术—核技术及应用]