Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators

被引:264
作者
Teramae, J [1 ]
Tanaka, D
机构
[1] Tamagawa Univ, Brain Sci Res Ctr, Tokyo, Japan
[2] Kyoto Univ, Grad Sch Sci, Dept Phys, Kyoto 6068502, Japan
基金
日本学术振兴会;
关键词
D O I
10.1103/PhysRevLett.93.204103
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that a wide class of uncoupled limit-cycle oscillators can be in-phase synchronized by common weak additive noise. An expression of the Lyapunov exponent is analytically derived to study the stability of the noise-driven synchronizing state. The result shows that such a synchronization can be achieved in a broad class of oscillators with little constraint on their intrinsic property. On the other hand, the leaky integrate-and-fire neuron oscillators do not belong to this class, generating intermittent phase slips according to a power law distribution of their intervals.
引用
收藏
页码:204103 / 1
页数:4
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