间歇线性反馈抑制螺旋波和时空混沌  

Suppression spiral waves and spatiotemporalchaos using intermittent linear feedback

作　　者：褚润通[1] 马军[1,2] 刘延君[1] 李世荣[1] 

机构地区：[1]兰州理工大学物理系,兰州730050 [2]浙江大学近代物理中心,杭州310027

出　　处：《华中师范大学学报（自然科学版）》2006年第2期172-176,共5页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金(10572056;90303010);甘肃省自然科学基金(3ZS042-B25-021)资助

摘　　要：采用间歇线性反馈的方法研究了一类激发介质中螺旋波和时空混沌的抑制问题．采用系统的采样变量与Logistic混沌信号来驱动系统．数值计算表明：选择恰当的采样周期，在非常小的反馈增益和无噪声下，大约50～80个时间单位后就可以消除Fitzhugh-Nagumo和Panfilov模型所对应的稳定旋转的螺旋波和时空混沌，系统达到稳定均匀态（0，0）．在时空噪声下，稳定旋转的螺旋波变得膨胀稀疏，可观测到螺旋波破裂和新的斑图．Intermittent linear feedback control scheme is proposed to suppress the spiral waves and spatiotemporal chaos in the excitable media which defined by the Fitzhugh-Nagumo and Panfilov equation, which appear stable rotating spiral and spatiotemporal chaos under appropriate parameters and initial values. The error between the sampling Logistc chaotic signal and the activator variable of system is used to drive the whole system intermittently. More numerical simulation results give evidences that small gain for feedback and appropriate sample period kills the rotating stable spiral and spatiotemporal chaos quickly about 50 to 80 time units and the whole system reach homogeneous and stable soon when noise is not considered. Rotating stable spiral begins to become sparse and spiral wave breakup is observed.

关 键 词：螺旋波 间歇反馈 时空混沌 Fitzhugh-Nagumo模型 Panfilov模型 

分 类 号：O415.5[理学—理论物理]