非线性系统中轨线的最小李雅普诺夫指数的计算  

Computation of the smallest Liapunov exponent for trajectory in nonlinear systems

作　　者：肖达川[1] 何青 

机构地区：[1]清华大学电机工程与应用电子技术系

出　　处：《清华大学学报（自然科学版）》1994年第6期100-102,共3页Journal of Tsinghua University(Science and Technology)

摘　　要：提出了计算连续系统中轨线的最小李雅普诺夫指数的方法。该法对研究三维自治系统的混沌轨线最有利。用此法得到的Ｌｏｒｅｎｚ吸引子和Ｒｏｓｓｌｅｒ吸引子的最小李雅普法诺夫指数和已知结果吻合。In this paper, a method for computing the smallest Liapunov exponent of anorbit is presented. The method is very efficient for chaotic trajectory in 3-dimensionalautonomous systems since one exponent is zero in this case. Smallest exponents of Lorenzand Rossler attractors computed by this method are identical with the known results.

关 键 词：李雅普诺夫指数 吸引子 非线性系统 浑沌 

分 类 号：O241.7[理学—计算数学]