External forcing of spiral waves

被引:82
作者
Zykov, Vladimir S. [1 ,2 ]
Steinbock, Oliver [1 ]
Mueller, Stefan C. [1 ]
机构
[1] Max Planck Inst Mol Physiol, D-44139 Dortmund, Germany
[2] Inst Control Sci, Moscow, Russia
关键词
D O I
10.1063/1.166029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The effect of an external rhythm on rotating spiral waves in excitable media is investigated. Parameters of the unperturbed medium were chosen, such that the organizing spiral tip describes meandering (hypocyclic) trajectories, which are the most general shape for the experimentally observed systems. Periodical modulation of excitability in a model of the Belousov-Zhabotinsky (BZ) reaction forces meandering spiral tips to describe trajectories that are not found at corresponding stationary conditions. For different modulation periods, two types of resonance drift, phase-locked tip motion, a spectrum of hypocyclic trajectories, and complex multifrequency patterns were computed. The computational results are complemented by experimental data obtained for periodically changing illumination of the photosensitive BZ reaction. The observed drastic deformation of the tip trajectory is considered as an efficient means to study and to control wave processes in excitable media.
引用
收藏
页码:509 / 518
页数:10
相关论文
共 32 条
[1]  
AGLADZE KI, 1987, JETP LETT+, V45, P767
[2]  
Allesie M. A., 1973, CIRC RES, V41, P9
[3]   SPIRAL-WAVE DYNAMICS IN A SIMPLE-MODEL OF EXCITABLE MEDIA - THE TRANSITION FROM SIMPLE TO COMPOUND ROTATION [J].
BARKLEY, D ;
KNESS, M ;
TUCKERMAN, LS .
PHYSICAL REVIEW A, 1990, 42 (04) :2489-2492
[4]   COMPOUND ROTATION OF SPIRAL WAVES IN ACTIVE MEDIA WITH PERIODICALLY MODULATED EXCITABILITY [J].
BRAUNE, M ;
ENGEL, H .
CHEMICAL PHYSICS LETTERS, 1993, 211 (06) :534-540
[5]   STATIONARY AND DRIFTING SPIRAL WAVES OF EXCITATION IN ISOLATED CARDIAC-MUSCLE [J].
DAVIDENKO, JM ;
PERTSOV, AV ;
SALOMONSZ, R ;
BAXTER, W ;
JALIFE, J .
NATURE, 1992, 355 (6358) :349-351
[6]  
Davydov V. A., 1991, SOV PHYS USP, V34, P665
[7]  
Field R. J., 1985, OSCILLATIONS TRAVELI
[8]   OSCILLATIONS IN CHEMICAL SYSTEMS .2. THOROUGH ANALYSIS OF TEMPORAL OSCILLATION IN BROMATE-CERIUM-MALONIC ACID SYSTEM [J].
FIELD, RJ ;
NOYES, RM ;
KOROS, E .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1972, 94 (25) :8649-&
[9]   PERIODIC SIGNALS CONTROL PATTERN FORMATION IN CELL AGGREGATIONS [J].
GERISCH, G .
NATURWISSENSCHAFTEN, 1971, 58 (09) :430-&
[10]   SPIRAL WAVES OF SPREADING DEPRESSION IN THE ISOLATED CHICKEN RETINA [J].
GORELOVA, NA ;
BURES, J .
JOURNAL OF NEUROBIOLOGY, 1983, 14 (05) :353-363