二维耦合映像格子的稳定态  

The stability of two-dimensional coupled map lattice

作　　者：朱春旭[1] 王道光[1] 吕华平[1] 

机构地区：[1]徐州师范大学物理与电子工程学院,江苏徐州221116

出　　处：《徐州师范大学学报（自然科学版）》2011年第1期58-61,共4页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：江苏省高校自然科学基金资助项目(06KJB140110)

摘　　要：采用自适应调节法控制二维耦合映像格子,系统在一定的控制参数条件下能够很快地被控制到均匀的稳定态.利用傅里叶变换方法计算了控制参数的范围.研究发现,当系统规模小于某个临界值时,控制参数的上限与系统规模成指数衰减关系;当系统规模大于临界值时,控制参数上限只与耦合系数相关,而与系统规模无关,控制参数下限则与单个格点的动力学性质有关.The adaptive adjustment mechanism is applied to stabilization of a two-dimensional coupled map lattice.The system is easily controlled to its homogeneous stable state.Differing from previous studies,we calculate the range of the controlling parameter by Fourier transform method.An interesting feature is that,when the scale of system is smaller than the critical value,the upper limit value of controlling parameter is exponential decaying with the scale.On the contrary,when it is more than the critical value,the upper limit value only relies on coupling coefficient and has nothing to do with the scale.However,the lower limit value is related to the property of dynamics of single node.

关 键 词：稳定态 自适应调节 傅里叶变换方法 

分 类 号：O415.5[理学—理论物理]