SPIRAL-WAVE DYNAMICS IN A SIMPLE-MODEL OF EXCITABLE MEDIA - THE TRANSITION FROM SIMPLE TO COMPOUND ROTATION

被引：286
作者：
BARKLEY, D
KNESS, M
TUCKERMAN, LS
机构：
[1] UNIV TEXAS, CTR NONLINEAR DYNAM, AUSTIN, TX 78712 USA
[2] UNIV TEXAS, DEPT MATH, AUSTIN, TX 78712 USA
来源：
PHYSICAL REVIEW A | 1990年 / 42卷 / 04期
关键词：
D O I：
10.1103/PhysRevA.42.2489
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Two-dimensional reaction-diffusion equations with simple reaction kinetics are used to study the dynamics of spiral waves in excitable media. Detailed numerical results are presented for the transition from simple (periodic) rotation to compound (quasiperiodic) rotation of spiral waves. It is shown that this transition occurs via a supercritical Hopf bifurcation and that there is no frequency locking within the quasiperiodic regime. © 1990 The American Physical Society.
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页码：2489 / 2492
页数：4
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