New chaotic system and its hyperchaos generation

查看全文 作　　者：Bao [1,2]Bocheng;Liu [1]Zhong;Xu [3]Jianping

机构地区：[1]Dept. of Electronic Engineering, Nanjing Univ. of Science and Technology, Nanjing 210094, P. R. China;[2]School of Electrical and Information Engineering, Jiangsu Teachers Univ. of Technology, Changzhou 213001, P. R. China;[3]School of Electrical Engineering, Southwest Jiaotong Univ., Chengdu 610031, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》索引2009年第20卷第6期,共9页

基　　金：supported by the National Natural Science Foundation of China (60971090);the Natural Science Foundation of Jiangsu Province (BK 2009105) 摘　　要：To seek for lower-dimensional chaotic systems that have complex topological attractor structure with simple algebraic system structure, a new chaotic system of three-dimensional autonomous ordinary differential equations is presented. The new system has simple algebraic structure, and can display a 2-scroll attractor with complex topological structure, which is different from the Lorenz's, Chen's and Lu¨'s attractors. By introducing a linear state feedback controller, the system can be controlled to generate a hyperchaotic attractor. The novel chaotic attractor, hyperchaotic attractor and dynamical behaviors of corresponding systems are further investigated by employing Lyapunov exponent spectrum, bifurcation diagram, Poincar′e mapping and phase portrait, etc., and then verified by simulating an experimental circuit. 关键词：混沌系统 LYAPUNOV指数谱状态反馈控制器超混沌混沌吸引子世代拓扑结构常微分方程

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New chaotic system and its hyperchaos generation

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