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 50 条

[21] Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance
Viana, R. L.
Batista, A. M.
Batista, C. A. S.
Iarosz, K. C.
NONLINEAR DYNAMICS, 2017, 87 (03) : 1589 - 1601
[22] Local phase synchronization and clustering for the delayed phase-coupled oscillators with plastic coupling
Liu, Yicheng
Wu, Jianhong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 444 (02) : 947 - 956
[23] Synchronization of electrochemical oscillators with differential coupling
Wickramasinghe, Mahesh
Kiss, Istvan Z.
PHYSICAL REVIEW E, 2013, 88 (06)
[24] Synchronization in nonlinear oscillators with conjugate coupling
Han, Wenchen
Zhang, Mei
Yang, Junzhong
CHAOS SOLITONS & FRACTALS, 2015, 71 : 1 - 6
[25] Synchronization in chaotic oscillators by cyclic coupling
O. I. Olusola
A. N. Njah
S. K. Dana
The European Physical Journal Special Topics, 2013, 222 : 927 - 937
[26] Synchronization in chaotic oscillators by cyclic coupling
Olusola, O. I.
Njah, A. N.
Dana, S. K.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2013, 222 (3-4): : 927 - 937
[27] Chaotic coupling synchronization of hyperchaotic oscillators
Zou, YL
Zhu, J
Chen, GR
CHINESE PHYSICS, 2005, 14 (04): : 697 - 702
[28] Design of coupling for synchronization of chaotic oscillators
Grosu, Ioan
Banerjee, Ranjib
Roy, Prodyot K.
Dana, Syamal K.
PHYSICAL REVIEW E, 2009, 80 (01):
[29] Phase synchronization of chaotic oscillators
Phys Rev Lett, 11 (1804):
[30] Phase synchronization of chaotic oscillators
Rosenblum, MG
Pikovsky, AS
Kurths, J
PHYSICAL REVIEW LETTERS, 1996, 76 (11) : 1804 - 1807

← 1 2 3 4 5 →