Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2007-08-07
Nonlinear Sciences
Adaptation and Self-Organizing Systems
4 pages, 3 figures
Scientific paper
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.
Fukai Tomoki
Teramae Jun-nosuke
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