Similar NonLeaky Integrate-and-Fire Neurons with Instantaneous Couplings Always Synchronize

DOI10.1137/S0036139998346038zbMath1013.92009OpenAlexW2093560571MaRDI QIDQ2706072

Walter Senn, Robert Urbanczik

Publication date: 19 March 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139998346038

zbMATH Keywords

synchronizationintegrate-and-firepacemakerpulse-coupled biological oscillators

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (11)

Asymptotic periodicity in networks of degrade-and-fire oscillators ⋮ A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties ⋮ Population dynamics of globally coupled degrade-and-fire oscillators ⋮ Synchrony and asynchrony for neuronal dynamics defined on complex networks ⋮ Speed of synchronization in complex networks of neural oscillators: Analytic results based on Random Matrix Theory ⋮ Self-synchronization of the integrate-and-fire pacemaker model with continuous couplings ⋮ Unstable attractors induce perpetual synchronization and desynchronization ⋮ Typical trajectories of coupled degrade-and-fire oscillators: from dispersed populations to massive clustering ⋮ Synchrony and asynchrony in a fully stochastic neural network ⋮ Pulse coupled oscillators and the phase resetting curve ⋮ The Solution of the Second Peskin Conjecture and Developments

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