Controlling spiral waves in confined geometries by global feedback

被引:93
作者
Zykov, VS [1 ]
Mikhailov, AS [1 ]
Muller, SC [1 ]
机构
[1] MAX PLANCK GESELL,FRITZ HABER INST,D-14195 BERLIN,GERMANY
关键词
D O I
10.1103/PhysRevLett.78.3398
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The evolution of spiral waves on a circular domain and on a spherical surface is studied by numerical integration of a reaction-diffusion system with a global feedback. It is shown that depending on intensity, sign, and/or time delay in the feedback loop a global coupling can be effectively used either to stabilize the rigid rotation of a spiral wave or to completely destroy spiral waves and to suppress self-sustained activity in a confined domain or an excitable medium. An explanation of the numerically observed effects is produced by a kinematical model of spiral wave propagation.
引用
收藏
页码:3398 / 3401
页数:4
相关论文
共 24 条
[1]  
AGLADZE KI, 1987, JETP LETT+, V45, P767
[2]   Controlling turbulence in the complex Ginzburg-Landau equation [J].
Battogtokh, D ;
Mikhailov, A .
PHYSICA D, 1996, 90 (1-2) :84-95
[3]   DESIGN PRINCIPLES OF A LOW-VOLTAGE CARDIAC DEFIBRILLATOR BASED ON THE EFFECT OF FEEDBACK RESONANT DRIFT [J].
BIKTASHEV, VN ;
HOLDEN, AV .
JOURNAL OF THEORETICAL BIOLOGY, 1994, 169 (02) :101-112
[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., 1993, Journal of Experimental and Theoretical Physics, V76, P414
[7]  
DAVYDOV VA, 1994, PHYSICA D, V70, P1
[8]  
GERISCH G, 1983, NATURWISSENSCHAFTEN, V58, P430
[9]   SPIRAL WAVES OF SPREADING DEPRESSION IN THE ISOLATED CHICKEN RETINA [J].
GORELOVA, NA ;
BURES, J .
JOURNAL OF NEUROBIOLOGY, 1983, 14 (05) :353-363
[10]   FEEDBACK-CONTROLLED DYNAMICS OF MEANDERING SPIRAL WAVES [J].
GRILL, S ;
ZYKOV, VS ;
MULLER, SC .
PHYSICAL REVIEW LETTERS, 1995, 75 (18) :3368-3371