ICONIP 2010: Neural Information Processing. Theory and Algorithms pp 486-493 | Cite as
Analytical Approach to Noise Effects on Synchronization in a System of Coupled Excitable Elements
Abstract
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.
Keywords
Noise induced synchronization Mean-field model Nonlinear Fokker-Planck equation Nonequilibrium phase transitions Bifurcations Langevin equations Stochastic limit cyclePreview
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