Estimating the LLE Based on Predicting Chaotic Time Series

摘要：

It is usually hard to calculate Lyapunov exponent of a system or a time series exactly. For a chaotic system, the Largest Lyapunov Exponent (LLE) is positive. So estimating the largest Lyapunov exponent is an important for a nonlinear system. In this paper, the problems of LEs of difference differential dynamic system are discussed. An algorithm for estimating the largest Lyapunov exponent is developed by combining the predicting chaotic time series and modified matrix method for calculating Lyapunov exponents. This novel algorithm can avoid solving the optimization problem and reducing the workload of related computations. The algorithm can be employed to predict the largest Lyapunov exponent to see the system is stable or not.

作者: Shangbo Zhou Liaofeng Liao Chuandong Li Hua Li

作者单位: Department of Computer Science and Engineering Chongqing University Chongqing, P.R. China 400044 Department of Mathematics and Computer Science University of Lethbridge Canada T1K 3M4

会议类型: 国际会议

会议名称: 2006 International Conference on Communications,Circuits and Systems(第四届国际通信、电路与系统学术会议)

会议地点: 广西桂林

会议语种:英文

页码: 327-331

在线出版日期: 2006-06-25（万方平台首次上网日期，不代表论文的发表时间）