KINEMATICS OF SPIRAL WAVES ON NONUNIFORMLY CURVED SURFACES

被引:29
作者
DAVYDOV, VA [1 ]
ZYKOV, VS [1 ]
机构
[1] MOSCOW INST CONTROL SCI,MOSCOW,USSR
来源
PHYSICA D | 1991年 / 49卷 / 1-2期
关键词
D O I
10.1016/0167-2789(91)90195-F
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The evolution of spiral waves in a two-dimensional excitable medium with nonuniform curvature is considered. Using an analytical approach based on approximate kinematical relations, we find that spiral waves drift at a rate proportional to the gradients of the Gaussian curvature of the surface. The theoretical predictions agree well with numerical simulations of the full reaction-diffusion equations.
引用
收藏
页码:71 / 74
页数:4
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