Resonance in a noise-driven excitable neuron model

DOI10.1016/S0960-0779(01)00064-9zbMath1028.37049MaRDI QIDQ1401052

San-Jue Hu, Pu-Lin Gong, Jian-xue Xu

Publication date: 17 August 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

controlbifurcationcoherence resonanceweak periodic perturbationnoisy FitzHugh-Nagumo neuron method

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (14)

Delay-induced Hopf bifurcation in a noise-driven excitable neuron model ⋮ A novel dynamical mechanism of neural excitability for integer multiple spiking ⋮ Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation ⋮ GWN-INDUCED BURSTING, SPIKING, AND RANDOM SUBTHRESHOLD IMPULSING OSCILLATION BEFORE HOPF BIFURCATIONS IN THE CHAY MODEL ⋮ Exact synchronization of noisy bursting neurons with coupling delays ⋮ Stability and convergence analysis of Fourier pseudo-spectral method for FitzHugh-Nagumo model ⋮ THE CORRESPONDENCE BETWEEN STOCHASTIC RESONANCE AND BIFURCATION OF MOMENT EQUATIONS OF NOISY NONLINEAR DYNAMICAL SYSTEM ⋮ Synchronization of FitzHugh-Nagumo systems in EES via \(H_{\infty}\) variable universe adaptive fuzzy control ⋮ Stochastic resonance induced by novel random transitions of motion of FitzHugh-Nagumo neuron model ⋮ Coherent neural oscillations induced by weak synaptic noise ⋮ Tension spline method for solution of Fitzhugh-Nagumo equation ⋮ Mixed-type discontinuous Galerkin approach for solving the generalized FitzHugh-Nagumo reaction-diffusion model ⋮ A study on stochastic resonance of one-dimensional bistable system in the neighborhood of bifurcation point with the moment method ⋮ Observing nonlinear stochastic resonance with piecewise constant driving forces by the method of moments

Cites Work

• The Fokker-Planck equation. Methods of solution and applications
• Stochastic resonance in neuron models
• Propagation of periodic and chaotic action potential trains along nerve fibers
• On the Resonance Structure in a Forced Excitable System
• Coherence Resonance in a Noise-Driven Excitable System
• Singular Hopf Bifurcation to Relaxation Oscillations
• Effect of noise on the tuning properties of excitable systems

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