Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
复制标题
DOI：
10.1103/physrevlett.93.204103
复制
发表时间：
2004-11-12
影响因子：
8.6
通讯作者：
Tanaka, D
中科院分区：
文献类型：
--
作者：
Teramae, J;Tanaka, D
我们证明了一类非耦合极限环振子可以通过共同的弱加性噪声实现同相同步。分析推导了李雅普诺夫指数的表达式，研究了噪声驱动同步状态的稳定性。结果表明，这种同步可以实现在一个广泛的类别的振荡器几乎没有限制其固有特性。另一方面，泄漏的积分和激发神经元振荡器不属于这一类，根据其间隔的幂律分布产生间歇性相位滑移。
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.