PERIODICALLY FORCED PIECEWISE-LINEAR ADAPTIVE EXPONENTIAL INTEGRATE-AND-FIRE NEURON

DOI10.1142/S021812741350171XzbMath1277.34060OpenAlexW2078601568MaRDI QIDQ2866076

LieJune Shiau, Carlo R. Laing

Publication date: 13 December 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741350171x

zbMATH Keywords

Arnol'd tongueperiodic stimulimode locked solutionspiecewise-linear adaptive exponential integrate-and-fire neuron

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural biology (92C20) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15)

Related Items (2)

Numerical bifurcation theory for high-dimensional neural models ⋮ Multitype Activity Coexistence in an Inertial Two-Neuron System with Multiple Delays

Cites Work

• The quantitative single-neuron modeling competition
• Firing patterns in the adaptive exponential integrate-and-fire model
• Dynamics and bifurcations of the adaptive exponential integrate-and-fire model
• Chaotic firing in the sinusoidally forced leaky integrate-and-fire model with threshold fatigue
• The Effects of Spike Frequency Adaptation and Negative Feedback on the Synchronization of Neural Oscillators
• Synchrony of Neuronal Oscillations Controlled by GABAergic Reversal Potentials
• MODE LOCKING IN A SPATIALLY EXTENDED NEURON MODEL: ACTIVE SOMA AND COMPARTMENTAL TREE
• The McKean's Caricature of the Fitzhugh--Nagumo Model I. The Space-Clamped System
• MODE LOCKING IN A PERIODICALLY FORCED "GHOSTBURSTING" NEURON MODEL

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