Multibranch entrainment and scaling in large populations of coupled oscillators

Multibranch entrainment and scaling in large populations of coupled oscillators
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DOI:
10.1103/physrevlett.77.1406
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发表时间:
1996-08-12
影响因子:
8.6
通讯作者:
Daido, H
Daido, H
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Daido, H

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多分支夹带是全局耦合振子中大量不同夹带态共存的一种特殊的宏观同步模式。下面的仿真结果表明,这些状态的总数W在g = g(c)附近表现为exp{N(g(c) - g)(3/2)},其中g为控制参数,g(c)为多分支夹带开始时的值,N为系统大小。这意味着夹带的“熵”呈幂律增长,S在W中下降。
Multibranch entrainment is a peculiar mode of macroscopic synchronization in globally coupled oscillators in which a huge number of different entrained states coexist. Simulation results presented below suggest that the total number of those states, W, behaves as exp{N(g(c) - g)(3/2)} near g = g(c), where g is a control parameter, g(c) its value at the onset of multibranch entrainment, and N the system size. This implies a power law growth of an ''entropy'' of entrainment, S drop In W.