SPIRAL CORE IN SINGLY DIFFUSIVE EXCITABLE MEDIA

被引:33
作者
KESSLER, DA
LEVINE, H
REYNOLDS, WN
机构
[1] UNIV CALIF SAN DIEGO,INST NONLINEAR SCI,LA JOLLA,CA 92093
[2] UNIV CALIF SAN DIEGO,DEPT PHYS,LA JOLLA,CA 92093
关键词
D O I
10.1103/PhysRevLett.68.401
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We formulate the problem of finding the spiral core which smoothly matches onto the asymptotic rotating solution of the FitzHugh-Nagumo model. We prove that the inner problem (with scale-epsilon, the ratio of the reaction rates) has a solution for all possible outer solutions on scale epsilon-2/3; furthermore, we explicitly determine this solution via a simple numerical procedure. This completes the rigorous demonstration of the existence of rotating spiral solutions in singly diffusive excitable systems.
引用
收藏
页码:401 / 404
页数:4
相关论文
共 15 条
[1]   SPIRAL WAVE SOLUTIONS FOR REACTION DIFFUSION-EQUATIONS IN A FAST REACTION SLOW DIFFUSION LIMIT [J].
BERNOFF, AJ .
PHYSICA D, 1991, 53 (01) :125-150
[2]  
FIFE PC, 1984, NONEQUILIBRIUM DYNAM
[3]   SPATIOTEMPORAL CONCENTRATION PATTERNS IN A SURFACE-REACTION - PROPAGATING AND STANDING WAVES, ROTATING SPIRALS, AND TURBULENCE [J].
JAKUBITH, S ;
ROTERMUND, HH ;
ENGEL, W ;
VONOERTZEN, A ;
ERTL, G .
PHYSICAL REVIEW LETTERS, 1990, 65 (24) :3013-3016
[4]   SCALING REGIME OF SPIRAL WAVE-PROPAGATION IN SINGLE-DIFFUSIVE MEDIA [J].
KARMA, A .
PHYSICAL REVIEW LETTERS, 1992, 68 (03) :397-400
[5]   SPIRAL WAVES IN THE BELOUSOV-ZHABOTINSKII REACTION [J].
KEENER, JP ;
TYSON, JJ .
PHYSICA D, 1986, 21 (2-3) :307-324
[6]   A GEOMETRICAL-THEORY FOR SPIRAL WAVES IN EXCITABLE MEDIA [J].
KEENER, JP .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1986, 46 (06) :1039-1056
[7]   STREAMING INSTABILITY OF AGGREGATING SLIME-MOLD AMEBAS [J].
LEVINE, H ;
REYNOLDS, W .
PHYSICAL REVIEW LETTERS, 1991, 66 (18) :2400-2403
[8]   TWO-DIMENSIONAL SPECTROPHOTOMETRY OF SPIRAL WAVE-PROPAGATION IN THE BELOUSOV-ZHABOTINSKII REACTION .2. GEOMETRIC AND KINEMATIC PARAMETERS [J].
MULLER, SC ;
PLESSER, T ;
HESS, B .
PHYSICA D, 1987, 24 (1-3) :87-96
[9]   ACTIVE PULSE TRANSMISSION LINE SIMULATING NERVE AXON [J].
NAGUMO, J ;
ARIMOTO, S ;
YOSHIZAWA, S .
PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1962, 50 (10) :2061-&
[10]   PERIODIC TO QUASI-PERIODIC TRANSITION OF CHEMICAL SPIRAL ROTATION [J].
SKINNER, GS ;
SWINNEY, HL .
PHYSICA D, 1991, 48 (01) :1-16