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Europhys. Lett.
Volume 64, Number 5, December 2003
Page(s) 613 - 619
Section General
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00272-8
Europhys. Lett., 64 (5) , pp. 613-619 (2003)

Scaling and optimal coupling strength in the synchronization of relaxationally coupled integrate-and-fire oscillators

H. Daido and S. Matsumoto

Department of Mathematical Sciences, Graduate School of Engineering University of Osaka Prefecture - Sakai 599-8531, Japan

(Received 3 April 2003; accepted in final form 15 September 2003)

Synchronization in a pair of non-identical integrate-and-fire oscillators coupled with exponentially relaxing excitatory stimuli is studied analytically as well as numerically with the focus on 1:1 synchronization. It is found that when the relaxation time $\tau$ of each stimulus is finite, increasing the coupling strength causes desynchronization in some parameter range. Scaling behavior of the phase boundary of synchronization is also found for $\tau\rightarrow 0$ and $\tau\rightarrow\infty$.

05.45.Xt - Synchronization; coupled oscillators.
87.10.+e - General theory and mathematical aspects.
05.45.-a - Nonlinear dynamics and nonlinear dynamical systems.

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