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激发介质波前曲面和组织中心的结构
引用本文:刘深泉. 激发介质波前曲面和组织中心的结构[J]. 应用数学和力学, 2004, 25(8): 831-836
作者姓名:刘深泉
作者单位:华南理工大学 应用数学系,广州 510640
基金项目:国家自然科学基金资助项目(19902005)
摘    要:通过建立波前曲面上的移动坐标系和边界层内的摄动分析,研究激发介质的波前曲面和组织中心的结构,得到波前曲面所满足的特征方程,组织中心所满足的一般方程.这些特征方程表明激发介质的波前曲面具有扭曲型回卷波、Mbius带型结构等变化;组织中心的轨迹具有打结、连结型的环型结构.得到的理论结果不仅解释了BZ化学反应产生的波形图案,而且给出一般激发介质波前曲面和组织中心可能出现的变化.

关 键 词:激发介质   波前曲面   组织中心
文章编号:1000-0887(2004)08-0831-06
收稿时间:2002-09-05
修稿时间:2002-09-05

Structure of Wave Front and Organization Center in Excitable Media
LIU Shen-quan. Structure of Wave Front and Organization Center in Excitable Media[J]. Applied Mathematics and Mechanics, 2004, 25(8): 831-836
Authors:LIU Shen-quan
Affiliation:Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, P. R. China
Abstract:With help of establishing the moving coordinate on the wave front surface and the perturbation analysis in the boundary layer, the structures of wave front and organization center in excitable media were studied. The eikonal equation of wave front surface and general equation of organization center were obtained. These eikonal equations reveal the wave front surfaces have structures of twisted scroll wave and M bius band, the organization centers have structures of knotted and linked ring. These theoretical results not only explain the wave patterns of BZ chemical reaction but also give several possibility structures of wave front surface and organization center in general excitable media.
Keywords:excitable media  wave front  organization center
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