摘要
研究了激发介质FitzhughNagumo方程中螺旋波的控制问题.基于稳定性和自适应理论,对系统格点变量进行采样,将采样变量与外界标准的周期信号和稳定信号进行线性作差,进一步将误差线性反馈到系统(局部反馈和全局反馈)中,当系统达到稳定均匀态,控制器自动关闭.并研究了噪声对该方法的影响.数值计算表明,选择不同的控制区域和外部标准信号,可将螺旋波抑制,系统很快达到均匀态,螺旋波转化成靶波或者形成新的斑图,控制器对噪声有一定鲁棒性.
A class of excitable media described by the Fitzhugh-Nagumo equation is investigated. Based on the stable and self-adaptive theory, the error between the system＇s grid variables and the standard sampling of the periodical signal or constant signal was feed back into the system both globally and locally. When the controller was then shut off, automatically, the whole system became homogeneous. Additionally, the scheme was tested under noisy conditions. The numerical simulation＇s results demonstrate its effectiveness. The system reached a homogeneous state and a spiral wave was converted into a target wave, resulting in a wonderful pattern emerging using a different controller. The scheme proved robust in resisting the effects of noise.
基金
ProjectsupportedbytheNationalNaturalScienceFoundationofChina(90303010
10572056).
关键词
螺旋波
控制
反馈
斑图
Spiral wave, Control, Feedback, Pattern.
