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

Details 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

2004-06-28

arxiv.org/abs/nlin/0406064v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

10 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.93.204103

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 low distribution of their intervals.

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