Phase turbulence in the nonlocally coupled phase equation

被引：10

作者：

Battogtokh, D ^{[1
]}

机构：

[1] Univ Georgia, Dept Phys & Astron, Athens, GA 30602 USA

[2] Mongolian Acad Sci, Inst Phys & Technol, Ulaanbaatar 51, Mongolia

来源：

PHYSICS LETTERS A | 2002年 / 299卷 / 5-6期

关键词：

nonlinear dynamics; chemical kinetics in biological systems; turbulence;

D O I：

10.1016/S0375-9601(02)00632-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A four variable reaction-diffusion system for population of hypothetical biological cells which are coupled through diffusive chemical substances is proposed. Using standard reduction technique the system is reduced to the nonlocally coupled phase equation, with two different coupling ranges. It is shown that in contrast to the nonlocally coupled phase equation with one coupling range, the phase equation with two coupling ranges displays phase turbulence. If the phase equation has only first harmonic terms, phase turbulence persists only at long coupling ranges. If it has first and second harmonics, phase turbulence persists across a wide interval of coupling ranges. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：558 / 564

页数：7

共 19 条

[1]

[Anonymous], 1990, DISSIPATIVE STRUCTUR, DOI DOI 10.1016/B978-0-08-092445-8.50011-0

[2] Turbulence of nonlocally coupled oscillators in the Benjamin-Feir stable regime [J].

Battogtokh, D ;

Kuramoto, Y .

PHYSICAL REVIEW E, 2000, 61 (03) :3227-3229

[3] Pattern formation in nonlocally coupled oscillators [J].

Battogtokh, D .

PROGRESS OF THEORETICAL PHYSICS, 1999, 102 (05) :947-952

[4] SPATIOTEMPORAL INTERMITTENCY REGIMES OF THE ONE-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION [J].

CHATE, H .

NONLINEARITY, 1994, 7 (01) :185-204

[5] A synthetic oscillatory network of transcriptional regulators [J].

Elowitz, MB ;

Leibler, S .

NATURE, 2000, 403 (6767) :335-338

[6]

GOLDBETER A, 1994, BIOCH OSCILLATIONS C

[7] CLUSTERING IN GLOBALLY COUPLED PHASE OSCILLATORS [J].

GOLOMB, D ;

HANSEL, D ;

SHRAIMAN, B ;

SOMPOLINSKY, H .

PHYSICAL REVIEW A, 1992, 45 (06) :3516-3530

[8] CLUSTERING AND SLOW SWITCHING IN GLOBALLY COUPLED PHASE OSCILLATORS [J].

HANSEL, D ;

MATO, G ;

MEUNIER, C .

PHYSICAL REVIEW E, 1993, 48 (05) :3470-3477

[9] Power-law spatial correlations and the onset of individual motions in self-oscillatory media with non-local coupling [J].

Kuramoto, Y ;

Nakao, H .

PHYSICA D-NONLINEAR PHENOMENA, 1997, 103 (1-4) :294-313

[10] Multiaffine chemical turbulence [J].

Kuramoto, Y ;

Battogtokh, D ;

Nakao, H .

PHYSICAL REVIEW LETTERS, 1998, 81 (16) :3543-3546

← 1 2 →