We report relationships between the effects of noise and applied constant currents on the behavior of a system of excitable elements. The analytical approach based on the nonlinear Fokker-Planck equation of a mean-field model allows us to study the effects of noise without approximations only by dealing with deterministic nonlinear dynamics . We find the similarity, with respect to the occurrence of oscillations involving subcritical Hopf bifurcations, between the systems of an excitable element with applied constant currents and mean-field coupled excitable elements with noise. © 2010 Springer-Verlag.
CITATION STYLE
Okumura, K., & Shiino, M. (2010). Analytical approach to noise effects on synchronization in a system of coupled excitable elements. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6443 LNCS, pp. 486–493). https://doi.org/10.1007/978-3-642-17537-4_60
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