Helicoidal instability of a scroll vortex in three-dimensional reaction-diffusion systems

被引:25
作者
Aranson, I
Mitkov, I
机构
[1] Argonne Natl Lab, Argonne, IL 60439 USA
[2] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[3] Los Alamos Natl Lab, Computat Sci Methods Grp, Los Alamos, NM 87545 USA
关键词
D O I
10.1103/PhysRevE.58.4556
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study the dynamics of scroll vortices in excitable reaction-diffusion systems analytically and numerically. We demonstrate that intrinsic three-dimensional instability of a straight scroll leads to the formation of helicoidal structures. This behavior originates from the competition between the scroll curvature and unstable core dynamics. We show that the obtained instability persists even beyond the meander core instability of the two-dimensional spiral wave. [S1063-651X(98)06310-7].
引用
收藏
页码:4556 / 4559
页数:4
相关论文
共 23 条
[1]   CIRCUS MOVEMENT IN RABBIT ATRIAL MUSCLE AS A MECHANISM OF TACHYCARDIA [J].
ALLESSIE, MA ;
BONKE, FIM ;
SCHOPMAN, FJ .
CIRCULATION RESEARCH, 1973, 33 (01) :54-62
[2]   CORE INSTABILITY AND SPATIOTEMPORAL INTERMITTENCY OF SPIRAL WAVES IN OSCILLATORY MEDIA [J].
ARANSON, I ;
KRAMER, L ;
WEBER, A .
PHYSICAL REVIEW LETTERS, 1994, 72 (15) :2316-2319
[3]   CONTROLLING SPATIOTEMPORAL CHAOS [J].
ARANSON, I ;
LEVINE, H ;
TSIMRING, L .
PHYSICAL REVIEW LETTERS, 1994, 72 (16) :2561-2564
[4]   Instability and stretching of vortex lines in the three-dimensional complex Ginzburg-Landau equation [J].
Aranson, IS ;
Bishop, AR .
PHYSICAL REVIEW LETTERS, 1997, 79 (21) :4174-4177
[5]   LINEAR-STABILITY ANALYSIS OF ROTATING SPIRAL WAVES IN EXCITABLE MEDIA [J].
BARKLEY, D .
PHYSICAL REVIEW LETTERS, 1992, 68 (13) :2090-2093
[6]   EUCLIDEAN SYMMETRY AND THE DYNAMICS OF ROTATING SPIRAL WAVES [J].
BARKLEY, D .
PHYSICAL REVIEW LETTERS, 1994, 72 (01) :164-167
[7]   A MODEL FOR FAST COMPUTER-SIMULATION OF WAVES IN EXCITABLE MEDIA [J].
BARKLEY, D .
PHYSICA D, 1991, 49 (1-2) :61-70
[8]   TENSION OF ORGANIZING FILAMENTS OF SCROLL WAVES [J].
BIKTASHEV, VN ;
HOLDEN, AV ;
ZHANG, H .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1994, 347 (1685) :611-630
[9]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112
[10]   Spiral wave meander in excitable media: The large core limit [J].
Hakim, V ;
Karma, A .
PHYSICAL REVIEW LETTERS, 1997, 79 (04) :665-668