Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators.
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.
Teramae
Jun-Nosuke
JN
Brain Science Research Center, Tamagawa University, Machida, Tokyo, Japan.
Tanaka
Dan
D
D008959:Models, Neurological; D008962:Models, Theoretical; D009474:Neurons / Q000502:physiology; D010507:Periodicity