带摩擦的Rikitake双盘发电机模型的混沌与同步  

Chaos and chaos synchronization of the Rikitake two-disk dynamo with friction

作　　者：刘晓君[1] 李险峰[2] 何万生[1] 王三福[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001 [2]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《东北师大学报（自然科学版）》2009年第3期59-63,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：甘肃省自然科学基金资助项目(3ZS042-B25-049);甘肃省教育厅科研基金资助项目(0808-04);天水师范学院科研基金资助项目(TSB0818)

摘　　要：利用非线性动力学理论讨论了带摩擦的Rikitake双盘发电机模型的混沌特性.通过数值计算得到该模型的定态解,并分析了该定态解的稳定性.利用数值仿真,得到在一定参数和初始状态下的吸引子和分岔图.为了实现该系统的混沌同步,选用耦合同步法,并选择了合适的耦合参数进行数值计算和计算机仿真.结果表明,该系统快速地达到了混沌同步.The chaotic characteristic of the Rikitake two-disk dynamo with friction is studied with nonlinear dynamics theory. The static states in the nonlinear system is got by numerical compute, and the stability of the static states is discussed. The chaotic attractors on different phase spaces and the global bifurcation graph are got by means of numerical simulation. The chaos synchronization of the system is realized by the coupling synchronism method with the appropriate coupling parameters.

关 键 词：混沌吸引子 分岔 混沌同步 地磁场反转 

分 类 号：O322[理学—一般力学与力学基础]