Alternative scenarios of spiral breakup in a reaction-diffusion model with excitable and oscillatory dynamics

被引：79

作者：

Bär, M ^{[1
]}

Or-Guil, M ^{[1
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.82.1160

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Instabilities (breakup) of spiral waves in two dimensions and their one-dimensional analogs-wave trains triggered by a specific boundary condition-leading to spatiotemporally chaotic dynamics are investigated in a simple activator-inhibitor model. These instabilities: always require an absolute instability of the emitted wave trains and coincide with the Eckhaus instability for the excitable case, while for oscillatory conditions the well-known convective variant of the Eckhaus instability is found. The different cases correspond to different spiral breakup phenomenologies [S0031-9007(99)08410-0].

引用

页码：1160 / 1163

页数：4

共 21 条

[1] STABILITY LIMITS OF SPIRALS AND TRAVELING WAVES IN NONEQUILIBRIUM MEDIA [J].

ARANSON, IS ;

ARANSON, L ;

KRAMER, L ;

WEBER, A .

PHYSICAL REVIEW A, 1992, 46 (06) :R2992-R2995

[2]

Ashcroft N.W., 1976, Solid state physics Holt, Rinehart and Winston, Vfirst

[3] SPIRAL WAVES IN A SURFACE-REACTION - MODEL-CALCULATIONS [J].

BAR, M ;

GOTTSCHALK, N ;

EISWIRTH, M ;

ERTL, G .

JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (02) :1202-1214

[4]

BAR M, 1993, PHYS REV E, V48, pR1635

[5] A MODEL FOR FAST COMPUTER-SIMULATION OF WAVES IN EXCITABLE MEDIA [J].

BARKLEY, D .

PHYSICA D, 1991, 49 (1-2) :61-70

[6] Phase diagram of the two-dimensional complex Ginzburg-Landau equation [J].

Chate, H ;

Mauneville, P .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1996, 224 (1-2) :348-368

[7] DEFECT-MEDIATED TURBULENCE [J].

COULLET, P ;

GIL, L ;

LEGA, J .

PHYSICAL REVIEW LETTERS, 1989, 62 (14) :1619-1622

[8] RE-ENTRANT ROTATING WAVES IN A BEELER-REUTER BASED MODEL OF TWO-DIMENSIONAL CARDIAC ELECTRICAL ACTIVITY [J].

Courtemanche, Marc ;

Winfree, Arthur T. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1991, 1 (02) :431-444

[9] PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].

CROSS, MC ;

HOHENBERG, PC .

REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112

[10] SPATIOTEMPORAL CHAOS [J].

CROSS, MC ;

HOHENBERG, PC .

SCIENCE, 1994, 263 (5153) :1569-1570

← 1 2 3 →