2004/06/28 by Jun-nosuke Teramae, Dan Tanaka · 2 citations
Physics and Astronomy · #nlin.AO #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevlett.93.204103
10 pages, 3 figures
arxiv created 2004/06/28 · arxiv updated 2009/12/01
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.