Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling

被引：15

作者：

Shirasaka, Sho ^{[1
]}

Watanabe, Nobuhiro ^{[2
]}

Kawamura, Yoji ^{[3
]}

Nakao, Hiroya ^{[2
,4
]}

机构：

[1] Univ Tokyo, Res Ctr Adv Sci & Technol, Tokyo 1538904, Japan

[2] Tokyo Inst Technol, Dept Syst & Control Engn, Tokyo 1528552, Japan

[3] Japan Agcy Marine Earth Sci & Technol, Dept Math Sci & Adv Technol, Yokohama, Kanagawa 2360001, Japan

[4] Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW E | 2017年 / 96卷 / 01期

关键词：

PHASE REDUCTION; PATTERNS; WAVES;

D O I：

10.1103/PhysRevE.96.012223

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We consider optimization of the linear stability of synchronized states between a pair of weakly coupled limit-cycle oscillators with cross coupling, where different components of state variables of the oscillators are allowed to interact. On the basis of the phase reduction theory, we derive the coupling matrix between different components of the oscillator states that maximizes the linear stability of the synchronized state under given constraints on the overall coupling intensity and the stationary phase difference. The improvement in the linear stability is illustrated by using several types of limit-cycle oscillators as examples.

引用

页数：12

共 26 条

[1] MUTUAL ENTRAINMENT OF 2 LIMIT-CYCLE OSCILLATORS WITH TIME DELAYED COUPLING
SCHUSTER, HG
WAGNER, P
PROGRESS OF THEORETICAL PHYSICS, 1989, 81 (05): : 939 - 945
[2] Optimal coupling functions for fast and global synchronization of weakly coupled limit-cycle oscillators
Namura, Norihisa
Nakao, Hiroya
CHAOS SOLITONS & FRACTALS, 2024, 185
[3] CHEMICAL WAVES AND THE DIFFUSIVE COUPLING OF LIMIT-CYCLE OSCILLATORS
NEU, JC
SIAM JOURNAL ON APPLIED MATHEMATICS, 1979, 36 (03) : 509 - 515
[4] Collective phase synchronization in locally coupled limit-cycle oscillators
Hong, H
Park, H
Choi, MY
PHYSICAL REVIEW E, 2004, 70 (04):
[5] SYNCHRONIZATION OF INFINITELY MANY COUPLED LIMIT-CYCLE TYPE OSCILLATORS
SHIINO, M
FRANKOWICZ, M
PHYSICS LETTERS A, 1989, 136 (03) : 103 - 108
[6] Bistability between synchrony and incoherence in limit-cycle oscillators with coupling strength inhomogeneity
Ko, Tae-Wook
Ermentrout, G. Bard
PHYSICAL REVIEW E, 2008, 78 (02):
[7] ON THE LIMIT-CYCLE STABILITY IN CURRENT-MODE OSCILLATORS
CELMA, S
MARTINEZ, PA
INTERNATIONAL JOURNAL OF ELECTRONICS, 1995, 79 (02) : 163 - 169
[8] Interplay of the mechanisms of synchronization by common noise and global coupling for a general class of limit-cycle oscillators
Goldobin, Denis S.
Dolmatova, Anastasiya, V
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 75 : 94 - 108
[9] Synchronization of two non-scalar-coupled limit-cycle oscillators
Ivanchenko, MV
Osipov, GV
Shalfeev, VD
Kurths, J
PHYSICA D-NONLINEAR PHENOMENA, 2004, 189 (1-2) : 8 - 30
[10] On practical stability of a network of coupled nonlinear limit-cycle oscillators
Panteley, Elena
El-Ati, Ali
2013 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC 2013), 2013, : 1548 - 1553

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