Synchronization of phase oscillators with coupling mediated by a diffusing substance

被引：15

作者：

Batista, C. A. S. ^{[1
]}

Szezech, J. D., Jr. ^{[2
]}

Batista, A. M. ^{[2
]}

Macau, E. E. N. ^{[3
]}

Viana, R. L. ^{[4
]}

机构：

[1] Univ Fed Parana, Ctr Marine Studies, Ponta Do Parana, Parana, Brazil

[2] Univ Estadual Ponta Grossa, Dept Math & Stat, Ponta Grossa, Parana, Brazil

[3] Natl Inst Space Res, Sao Jose Dos Campos, SP, Brazil

[4] Univ Fed Parana, Dept Phys, Curitiba, Parana, Brazil

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 470卷

关键词：

Synchronization; Phase oscillators; Nonlocal coupling; LAW SPATIAL CORRELATIONS; RECURRENCE PLOTS; COMPLEX-SYSTEMS; QUANTIFICATION; KURAMOTO; ONSET;

D O I：

10.1016/j.physa.2016.11.140

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the transition to phase and frequency synchronization in a one-dimensional chain of phase oscillator "cells" where the coupling is mediated by the local concentration of a chemical which can diffuse in the inter-oscillator medium and it is both secreted and absorbed by the oscillator "cells", influencing their dynamical behavior. This coupling has the advantage of having a tunable parameter which makes it possible to pass continuously from a global (all-to-all) to a local (nearest-neighbor) coupling form. We have verified that synchronous behavior depends on the coupling strength and coupling length. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：236 / 248

页数：13

共 23 条

[1] The Kuramoto model:: A simple paradigm for synchronization phenomena [J].

Acebrón, JA ;

Bonilla, LL ;

Vicente, CJP ;

Ritort, F ;

Spigler, R .

REVIEWS OF MODERN PHYSICS, 2005, 77 (01) :137-185

[2]

[Anonymous], 2003, MATH BIOL

[3] Analytical results for coupled-map lattices with long-range interactions - art. no. 045202 [J].

Anteneodo, C ;

Pinto, SED ;

Batista, AM ;

Viana, RL .

PHYSICAL REVIEW E, 2003, 68 (04)

[4]

Batista AM, 2002, PHYS REV E, V65, DOI 10.1103/PhysRevE.65.056209

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

Battogtokh, D .

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

[6] Phase turbulence in the nonlocally coupled phase equation [J].

Battogtokh, D .

PHYSICS LETTERS A, 2002, 299 (5-6) :558-564

[7] RECURRENCE PLOTS OF DYNAMIC-SYSTEMS [J].

ECKMANN, JP ;

KAMPHORST, SO ;

RUELLE, D .

EUROPHYSICS LETTERS, 1987, 4 (09) :973-977

[8] Noise-induced turbulence in nonlocally coupled oscillators [J].

Kawamura, Yoji ;

Nakao, Hiroya ;

Kuramoto, Yoshiki .

PHYSICAL REVIEW E, 2007, 75 (03)

[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] Origin of power-law spatial correlations in distributed oscillators and maps with nonlocal coupling [J].

Kuramoto, Y ;

Nakao, H .

PHYSICAL REVIEW LETTERS, 1996, 76 (23) :4352-4355

← 1 2 3 →