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
收藏
页码：236 / 248
页数：13
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