Glass synchronization in the network of oscillators with random phase shifts
Glass synchronization in the network of oscillators with random phase shifts
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DOI：
10.1103/physreve.57.5030
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发表时间：
1998-05
影响因子：
2.4
通讯作者：
Kibeom Park;S. Rhee;M. Choi
中科院分区：
文献类型：
--
作者：
Kibeom Park;S. Rhee;M. Choi
研究了具有随机相移的振子网络的同步性质。在没有移位的情况下，系统简化为众所周知的仓本模型，其显示相位的同步。我们引入了一个额外的序参量来描述玻璃同步，并通过使用副本方法得到了自洽方程。在存在适当的相移的情况下，系统同时表现出相位同步和玻璃同步。同时指出，耦合强度与系统大小的适当比例取决于随机性的程度。
We investigate the synchronization properties in a network of oscillators with random phase shifts. In the absence of the shift, the system reduces to the well-known Kuramoto model, which displays synchronization of phases. We introduce an additional order parameter describing glass synchronization and obtain self-consistency equations through the use of the replica method. In the presence of appropriate phase shifts, the system is found to exhibit both phase synchronization and glass synchronization. It is also pointed out that the proper scaling of the coupling strength with the system size depends on the degree of randomness.