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

Jun-nosuke Teramae; Dan Tanaka

doi:10.1103/physrevlett.93.204103

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

Jun-nosuke Teramae·Dan Tanaka

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Abstract

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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Jun-nosuke Teramae, Dan Tanaka. 2004-06-28. Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators. https://doi.org/10.1103/physrevlett.93.204103

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