Prog. Theor. Phys. Vol. 88 No. 6 (1992) pp. 1213-1218

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Letters

Order Function and Macroscopic Mutual Entrainment in Uniformly Coupled Limit-Cycle Oscillators

Hiroaki Daido

Niels Bohr Institute, Blegdamsvej 17, DK 2100 Copenhagen

(Received July 6, 1992)

Abstract:

A concept of order function is proposed to develop a general self-consistent theory of mutual entrainment in large populations of limit-cycle oscillators such that each element is uniformly coupled to every other. The onset of entrainment is revealed to be a bifurcation of the order function in functional space. Numerical evidence for the theory is also presented.

URL : http://ptp.ipap.jp/link?PTP/88/1213/
DOI : 10.1143/PTP.88.1213

References:

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Citing Article(s) :

Journal of the Physical Society of Japan 69 (2000) pp. 3545-3551 :
Mutual Entrainment and Multi-Stability in Josephson Junction Arrays

Hidetsugu Sakaguchi and Kazutaka Watanabe
Progress of Theoretical Physics Vol. 89 No. 4 (1993) pp. 929-934 :
Critical Conditions of Macroscopic Mutual Entrainment in Uniformly Coupled Limit-Cycle Oscillators

Hiroaki Daido
Progress of Theoretical Physics Vol. 104 No. 4 (2000) pp. 709-721 :
Stability Gap between Off- and On-Firing States in a Coupled Ginzburg-Landau Oscillator Neural Network

Satoshi Kawaguchi
Progress of Theoretical Physics Vol. 108 No. 1 (2002) pp. 13-23 :
Phase-Locked and Phase-Drift Solutions of Phase Oscillators with Asymmetric Coupling Strengths

Hiroyasu Yamada
Progress of Theoretical Physics Vol. 109 No. 1 (2003) pp. 133-138 :
Multiplicity of Limit Cycle Attractors in Coupled Heteroclinic Cycles

Masashi Tachikawa
Progress of Theoretical Physics Supplement No.150 (2003) pp. 281-296 :
Desynchronization by Means of a Coordinated Reset of Neural Sub-Populations

Peter A. Tass