Synchronization in two neurons: Results for a two-component dynamical model with time-delayed inhibition

DOI10.1016/S0167-2789(97)00149-8zbMath0943.92003OpenAlexW2133311723MaRDI QIDQ1963781

Gilles Renversez

Publication date: 8 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00149-8

zbMATH Keywords

synchronizationinhibitionphase-plane analysisneuronal modellingtime-delayed coupling

Mathematics Subject Classification ID

Quadratic programming (90C20) Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (5)

Synchronized stability in a reaction-diffusion neural network model ⋮ Global impulsive exponential synchronization of time-delayed coupled chaotic systems ⋮ A unified approach for impulsive lag synchronization of chaotic systems with time delay ⋮ Type I vs. type II excitable systems with delayed coupling ⋮ Phase synchronization in two coupled chaotic neurons

Cites Work

• Asymptotic methods for relaxation oscillations and applications
• Reduction of conductance-based neuron models
• Why spikes? Hebbian learning and retrieval of time-resolved excitation patterns
• Global competition and local cooperation in a network of neural oscillators
• Local lateral inhibition: A key to spike synchronization?
• Waves and synchrony in networks of oscillators of relaxation and non-relaxation type

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