A Soluble Active Rotator Model Showing Phase Transitions via Mutual Entrainment : General and Mathematical Physics
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概要
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some analytical results are obtained for a large population of limit-cycle oscillators modelled by a set of deterministic equations φ_i=ω_i-N^<-1>KΣ^N_<j=1>sin(φ_i-φ_j+α)(i=1,2,…,N), where φ_i is phase of the i-th oscillator and ω_i's are parameters distributed randomly. The present work is a generalization of the previous one where the study was limited to the case of vanishing αand symmetric distribution of ω_i. As in the previous case, a particular macroscopic solution of steady rotation is found, which branches off the trivial solution at some positive K. A computer simulation with N=1000 is carried out, which correctly reproduces our analytical results.
- 理論物理学刊行会の論文
- 1986-09-25
著者
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Kuramoto Y
Kyoto Univ. Kyoto Jpn
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Kuramoto Yoshiki
Department Of Mathematics Graduate School Of Science Hokkaido University
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Sakaguchi Hidetsugu
Department Of Applied Physics Faculty Of Engineering Kyushu University
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Sakaguchi Hidetsugu
Department Of Physics Kyoto University
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KURAMOTO Yoshiki
Department of Physics, Faculty of Science, Kyushu University
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