一个新的多维超混沌系统及其性质研究  

Analysis the properties of a new hyper-chaotic system

作　　者：舒永录[1] 张付臣[1] 杨洪亮[2] 

机构地区：[1]重庆大学数理学院,重庆400044 [2]临沂师范学院信息学院,临沂276005

出　　处：《四川大学学报（自然科学版）》2011年第4期857-864,共8页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学青年基金(10601071);重庆市自然科学基金(2009BB3185)

摘　　要：研究了一个新的不同于Lorenz系统,Chen系统和L(u|¨)系统、T系统、Qi系统的五维自治混沌系统,该系统有三个参数,四个非线性乘积项.通过理论推导、数值仿真、数值计算、分岔图、同步图、研究了该混沌系统的基本动力学特性,并分析了该系统混沌吸引子界的范围,这为该系统的混沌控制、同步、维数的估计奠定了基础.We have studied a five-dimensional autonomous chaotic system which is differ Lorenz system, Chen system, Lii system, T system, and Qi system. For the system, It rameters and the four non-linear product terms. Through theoretical analysis, numerical numerical computation, bifurcation diagrams, synchronization graphs, we have analysised ent from the has three pasimulation, the basic dynamic characteristics of the chaotic system. At the same time, an analysis of the attractor bound has been performed, this lay the foundation for chaos control, synchronization and estimation the dimension of the system.

关 键 词：超混沌系统 分岔图 混沌吸引子 同步 数值模拟 

分 类 号：O175.14[理学—数学] O415.5[理学—基础数学]