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二维耦合映像格子的稳定态
引用本文:朱春旭,王道光,吕华平.二维耦合映像格子的稳定态[J].徐州师范大学学报(自然科学版),2011,29(1):58-61.
作者姓名:朱春旭  王道光  吕华平
作者单位:徐州师范大学,物理与电子工程学院,江苏,徐州,221116
基金项目: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.

关 键 词:稳定态  自适应调节  傅里叶变换方法

The stability of two-dimensional coupled map lattice
Zhu Chunxu,Wang Daoguang,Lü Huaping.The stability of two-dimensional coupled map lattice[J].Journal of Xuzhou Normal University(Natural Science Edition),2011,29(1):58-61.
Authors:Zhu Chunxu  Wang Daoguang  Lü Huaping
Institution:Zhu Chunxu,Wang Daoguang,Lü Huaping(School of Physics & Electronic Engineering,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China)
Abstract: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,...
Keywords:stable state  adaptive adjustment  Fourier transform method  
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