Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators |
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Authors: | Teramae Jun-Nosuke Tanaka Dan |
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Affiliation: | Brain Science Research Center, Tamagawa University, Machida, Tokyo, Japan. |
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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 law distribution of their intervals. |
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