Synchronized firing of FitzHugh–Nagumo neurons by noise

DOI10.1063/1.1929687zbMath1080.92020OpenAlexW1999908551WikidataQ51393778 ScholiaQ51393778MaRDI QIDQ5705504

Hiroyuki Kitajima, Juergen Kurths

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1929687

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25)

Related Items (11)

The random attractor of stochastic Fitzhugh-Nagumo equations in an infinite lattice with white noises ⋮ Dynamical behavior of simplified FitzHugh–Nagumo neural system with time delay driven by Lévy noise ⋮ The study on dynamical behavior of Fitzhugh-Nagumo neural model under the co-excitation of non-Gaussian and colored noise ⋮ Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point ⋮ FORCED SYNCHRONIZATION IN MORRIS–LECAR NEURONS ⋮ Stochastic stability of Fitzhugh-Nagumo systems in infinite lattice perturbed by Gaussian white noise ⋮ Dynamical behavior of simplified Fitzhugh-Nagumo neural system driven by Lévy noise and Gaussian white noise ⋮ NOISE-INDUCED PATTERN FORMATION AND SYNCHRONIZATION IN A SQUARE-LATTICE NEURONAL NETWORK ⋮ Mixed Mode Oscillations and Synchronous Activity in Noise Induced Modified Morris–Lecar Neural System ⋮ Stochastic resonance in FitzHugh–Nagumo neural system driven by correlated non-Gaussian noise and Gaussian noise ⋮ Harmonics and intermodulation in subthreshold FitzHugh–Nagumo neuron

Uses Software

• MersenneTwister

Cites Work

• Unnamed Item
• Dynamics of the noisy neural network
• Channel noise and synchronization in excitable membranes
• Noise-induced synchronization for phase turbulence
• Synchronization of two Hodgkin-Huxley neurons due to internal noise
• Emergence of synchronous oscillations in neural networks excited by noise
• Noise induced synchronization in a neuronal oscillator
• Dynamical cell assembly hypothesis -- Theoretical possibility of spatio-temporal coding in the cortex
• Analytical and numerical studies of noise-induced synchronization of chaotic systems
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• Mersenne twister
• Information transfer in entrained cortical neurons

This page was built for publication: Synchronized firing of FitzHugh–Nagumo neurons by noise