NONLINEAR DYNAMIC SYSTEMS AND APPLICATION TO LORENZ EQUATION

摘要：

We present the concept of the complexity radii of nonlinear dynamic system (NDS) with linear perturbations 8.In this paper we improve the algorithm of the complexity radii. As a robust measure of dynamic complexity of NDS,the complexity radii provide the tolerated parameter perturbation values of NDS without losing its dynamic complexity. As an application, the real complexity radii ofLorenz equation have been calculated. Numeric simulation results showed that the perturbed Lorenz equation still generates strange attractor if the norms of the corresponding parameter perturbation matrices were less that the complexity radii of the Lorenz equation.

关键词： Complexity radius nonlinear system strange attractor

作者: GUO-DONG LI DE-GANG CHEN ZHEN-YU ZHAO ZHEN-JUN YE

作者单位: School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China School of Business and Manages, North China Electric Power University, Beijing 102206, China

会议类型: 国际会议

会议名称: 2006 International Conference on Machine Learning and Cybernetics(IEEE第五届机器学习与控制论坛)

会议地点: 大连

会议语种:英文

页码: 2093-2096

在线出版日期: 2006-08-13（万方平台首次上网日期，不代表论文的发表时间）