随机相位扰动抑制激发介质中漂移的螺旋波  

Suppression of meandering spiral waves in the excitable media due to a perturbation with stochastic phase

作　　者：马军[1] 靳伍银[2] 李延龙[1] 陈勇[3] 

机构地区：[1]兰州理工大学物理系,兰州730050 [2]兰州理工大学机电工程学院,兰州730050 [3]兰州大学理论物理研究所,兰州730000

出　　处：《物理学报》2007年第4期2456-2465,共10页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10572056;10305005;10405018);甘肃省自然科学基金(批准号:3ZS042-B25-021)资助的课题.~~

摘　　要：研究了一类二维变量描述的激发系统中漂移螺旋波的抑制问题.通过在整个系统中局部注入带随机相位的电信号,如在系统256×256格点的边界或中心区域中选取4×4或者5×5格点区域施加一个带随机相位的外部激励电信号,在系统内部产生一个持续的靶波信号,实现靶波对螺旋波的动态竞争.数值计算表明:该方法对于Barkley模型中螺旋波有很强的抑制作用,与简单的局部周期信号驱动比较,具有暂态过程比较短的特点,而且对于时空噪声具有一定的抗干扰性.在一定的噪声范围内,即使系统出现不均匀性,也可以观测到靶波,新出现的靶波对螺旋波有抑制作用.A new scheme is proposed to suppress the meandering spiral waves in the excitable media, which is described with twodimensional variables. An external electronic signal with stochastic phase is imposed on a local area; few grids of the system are perturbed, for example, 4 × 4 and/or 5 × 5 grid nodes among all the 256 × 256 nodes, so that a new target wave may occur and competition between the newly generated target wave and the intrinsic meandering spiral waves develops dynamically. The numerical simulation results confirm that it is effective to suppress the meandering spiral wave in the Barkley model. Compared with a simple periodical driving in a local area, it shows some advantages such as shorter transient period to kill the spiral wave, and it is robust to spatiotempaoral noise. A new target wave could come into being and will kill the meandering spiral wave even in the anisotropic media, of which the diffusion coefficient is a function of space, when the intensity of the spatiotemporal noise is not too strong.

关 键 词：螺旋波 靶波 Barkley模型 随机相位 

分 类 号：O415[理学—理论物理]