On the interspike-intervals of periodically-driven integrate-and-fire models

DOI10.1016/j.jmaa.2014.10.013zbMath1325.37022arXiv1304.3276OpenAlexW1978861128MaRDI QIDQ465417

Wacław Marzantowicz, Justyna Signerska

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3276

zbMATH Keywords

integrate-and-fireleaky integratorperfect integratorinterspike intervalsdisplacement sequenceneuron models

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Dynamical systems involving maps of the circle (37E10) Time series analysis of dynamical systems (37M10)

Related Items (3)

Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations ⋮ Integrate-and-fire models with an almost periodic input function ⋮ ANALYSIS OF INTERSPIKE-INTERVALS FOR THE GENERAL CLASS OF INTEGRATE-AND-FIRE MODELS WITH PERIODIC DRIVE

Cites Work

• Unnamed Item
• Unnamed Item
• Phase locking in integrate-and-fire models with refractory periods and modulation
• Dynamics of one-dimensional spiking neuron models
• Firing map of an almost periodic input function
• Unfolding an electronic integrate-and-fire circuit
• Precision and reliability of periodically and quasiperiodically driven integrate-and-fire neurons
• Minimal sets: An introduction to topological dynamics
• A Characterization of the Weak Convergence of Measures
• Spiking Dynamics of Bidimensional Integrate-and-Fire Neurons
• Cardiac arrhythmias and circle mappings^a)
• On Choosing and Bounding Probability Metrics
• Distribution of the displacement sequence of an orientation preserving circle homeomorphism
• Relations between Weak and Uniform Convergence of Measures with Applications
• Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input
• On the firing maps of a general class of forced integrate and fire neurons

This page was built for publication: On the interspike-intervals of periodically-driven integrate-and-fire models