Robustness of the Noise-Induced Phase Synchronization in a General Class of Limit Cycle Oscillators
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- 12 November 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 93 (20) , 204103
- https://doi.org/10.1103/physrevlett.93.204103
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.Keywords
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