Sierpinski gasket in a reaction-diffusion system

被引：63
|
作者：
Hayase, Y [1 ]
Ohta, T
机构：
[1] Ochanomizu Univ, Dept Phys, Tokyo 112, Japan
[2] Ochanomizu Univ, Grad Sch Humanities & Sci, Tokyo 112, Japan
来源：
PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 08期
关键词：
D O I：
10.1103/PhysRevLett.81.1726
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We shall show by computer simulations that a Bonhoeffer van der Pol type reaction-diffusion system in one dimension reveals a curious spatiotemporal pattern in the motion of interacting pulses. For suitably chosen nonlinearity and parameters, the trajectory of pulses exhibits a self-similar regular pattern like a Sierpinski gasket in the space-time coordinate. This is caused by self-replication of a pulse and annihilation and/or preservation of propagating pulses upon collision. The formation of the Sierpinski gasket can be understood by mapping the time evolution of pulses to an equivalent cellular automaton. [S0031-9007(98)06956-7].
引用
收藏
页码：1726 / 1729
页数：4
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