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

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