Prog. Theor. Phys. Vol. 89 No. 4 (1993) pp. 929-934

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Letters

Critical Conditions of Macroscopic Mutual Entrainment in Uniformly Coupled Limit-Cycle Oscillators

Niels Bohr Institute, Blegdamsvej 17, DK 2100 Copenhagen Ø, and, Department of Physics, Faculty of Engineering, Kyushu Institute of Technology, Kitakyushu 804

(Received December 7, 1992)

Abstract:

On the basis of the order function theory developed previously, critical conditions are derived and numerically verified for the onset of macroscopic mutual entrainment in phase models of uniformly coupled limit-cycle oscillators with an arbitrary coupling function. Some remaining problems are pointed out.

URL : http://ptp.ipap.jp/link?PTP/89/929/
DOI : 10.1143/PTP.89.929

References:

A. T. Winfree, J. Theor. Biol. 16 (1967), 15; The Geometry of Biological Time (Springer, New York, 1980).
Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).
H. Sakaguchi and Y. Kuramoto, Prog. Theor. Phys. 76 (1986), 576[PTP].
H. Daido, Prog. Theor. Phys. 88 (1992), 1213[PTP].

Citing Article(s) :

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