2007/08/07 by Jun-nosuke Teramae, Teramae, Jun-nosuke, Tomoki Fukai +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation #cond-mat.dis-nn #nlin.AO #q-bio.NC
paper · pdf · doi:10.48550/arxiv.0708.0862
4 pages, 3 figures
arxiv created 2007/08/07 · arxiv updated 2009/12/01
We study the reliability of spike output in a general class of pulse-coupled oscillators receiving a fluctuating input. Showing that this problem is equivalent to noise-induced synchronization between identical networks of oscillators, we employ the phase reduction method to analytically derive the average Lyapunov exponent of the synchronized state. We show that a transition occurs between reliable and unreliable responses at a critical coupling strength, which is determined through the competition between the external input and recurrent input. To our surprise, the critical value does not depend on intrinsic properties of oscillators.