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

[21] Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise
Nakao, Hiroya
Teramae, Jun-nosuke
Goldobin, Denis S.
Kuramoto, Yoshiki
CHAOS, 2010, 20 (03)
[22] Semiclassical optimization of entrainment stability and phase coherence in weakly forced quantum limit-cycle oscillators
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PHYSICAL REVIEW E, 2020, 101 (01)
[23] Frequency repulsion in ensembles of general limit-cycle oscillators synchronized by common noise in the presence of global desynchronizing coupling
Goldobin, D. S.
Dolmatova, A., V
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENIY-PRIKLADNAYA NELINEYNAYA DINAMIKA, 2019, 27 (03): : 33 - 60
[24] On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators
Kreider, Max
Thomas, Peter J.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2024, 23 (02): : 1636 - 1676
[25] MULTIBRANCH ENTRAINMENT AND MULTI-PEAKED ORDER-FUNCTIONS IN A PHASE MODEL OF LIMIT-CYCLE OSCILLATORS WITH UNIFORM ALL-TO-ALL COUPLING
DAIDO, H
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (05): : L151 - L157
[26] MULTIBRANCH ENTRAINMENT AND MULTI-PEAKED ORDER-FUNCTIONS IN A PHASE MODEL OF LIMIT-CYCLE OSCILLATORS WITH UNIFORM ALL-TO-ALL COUPLING (VOL 28, PG L151, 1995)
DAIDO, H
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (16): : 4667 - 4667

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