Emergence of synchronous oscillations in neural networks excited by noise

DOI10.1016/S0167-2789(03)00007-1zbMath1018.92005arXivmath/0507141WikidataQ60155401 ScholiaQ60155401MaRDI QIDQ1868924

Yanyan Li

Publication date: 9 April 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507141

zbMATH Keywords

feedbackFokker-Planck equationnonlinear dynamical systems

Mathematics Subject Classification ID

Neural biology (92C20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (9)

Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation ⋮ Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point ⋮ Synchronized firing of FitzHugh–Nagumo neurons by noise ⋮ NOISE-INDUCED PATTERN FORMATION AND SYNCHRONIZATION IN A SQUARE-LATTICE NEURONAL NETWORK ⋮ Synchronization of FitzHugh-Nagumo neurons in external electrical stimulation via nonlinear control ⋮ SPATIO-TEMPORAL COHERENCE RESONANCE AND FIRING SYNCHRONIZATION IN A NEURAL NETWORK: NOISE AND COUPLING EFFECTS ⋮ Tension spline method for solution of Fitzhugh-Nagumo equation ⋮ Self-induced stochastic resonance in excitable systems ⋮ Mixed-type discontinuous Galerkin approach for solving the generalized FitzHugh-Nagumo reaction-diffusion model

Cites Work

• Numerical solution for Fokker-Planck equations in accelerators
• Stochastic resonance in mammalian neuronal networks
• Using electrical noise to enhance the ability of humans to detect subthreshold mechanical cutaneous stimuli
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