Analytical Approach to Noise Effects on Synchronization in a System of Coupled Excitable Elements
arXiv:1101.0342 · doi:10.1007/978-3-642-17537-4_60
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.
8 pages, 4 figures
References in corpus (3)
- Coherence Resonance and Noise-Induced Synchronization in Globally Coupled Hodgkin-Huxley Neurons
- Noise Induced Complexity: From Subthreshold Oscillations to Spiking in Coupled Excitable Systems
- Effects of noise on synchronization phenomena exhibited by mean-field coupled limit cycle oscillators with two natural frequencies