Neural Dynamics, Bifurcations, and Firing Rates in a Quadratic Integrate-and-Fire Model with a Recovery Variable. I: Deterministic Behavior

DOI10.1162/NECO_A_00308zbMath1311.92051DBLPjournals/neco/ShlizermanH12WikidataQ47778543 ScholiaQ47778543MaRDI QIDQ2919432

Eli Shlizerman, Philip J. Holmes

Publication date: 2 October 2012

Published in: Neural Computation (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (6)

Reconstruction of the input signal of the leaky integrate-and-fire neuronal model from its interspike intervals ⋮ The Leaky Oscillator: Properties of Inhibition-Based Rhythms Revealed through the Singular Phase Response Curve ⋮ Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations ⋮ Changes of Firing Rate Induced by Changes of Phase Response Curve in Bifurcation Transitions ⋮ Qualitative analysis of a quadratic integrate-and-fire neuron model with state-dependent feedback control ⋮ Delay-induced spiking dynamics in integrate-and-fire neurons

Cites Work

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• Spiking Dynamics of Bidimensional Integrate-and-Fire Neurons
• Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
• Quantitative study of attractor neural network retrieving at low spike rates: I. substrate—spikes, rates and neuronal gain
• Importance of the Cutoff Value in the Quadratic Adaptive Integrate-and-Fire Model
• Averaging methods in nonlinear dynamical systems

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