Chaotification for a class of nonlinear systems  

作　　者：刘娜 关治洪 

机构地区：[1]Department of Control Science and Engineering,Huazhong University of Science and Technology

出　　处：《Chinese Physics B》2009年第5期1769-1773,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos 60834002,60603006,60628301 and 60873021);the International Science and Technology Cooperative Project(Grant No 2008DFA12150)

摘　　要：More and more attention has been focused on effectively generating chaos via simple physical devices. The problem of creating chaotic attractors is considered for a class of nonlinear systems with backlash function in this paper. By utilizing the Silnikov heteroclinic and homoclinic theorems, some sufficient conditions are established to guarantee that the nonlinear system has horseshoe-type chaos. Examples and simulations are given to verify the effectiveness of the theoretical results.More and more attention has been focused on effectively generating chaos via simple physical devices. The problem of creating chaotic attractors is considered for a class of nonlinear systems with backlash function in this paper. By utilizing the Silnikov heteroclinic and homoclinic theorems, some sufficient conditions are established to guarantee that the nonlinear system has horseshoe-type chaos. Examples and simulations are given to verify the effectiveness of the theoretical results.

关 键 词：CHAOS backlash function heteroclinic orbit chaos generation 

分 类 号：O415.5[理学—理论物理] TP271[理学—物理]