Firing map for periodically and almost-periodically driven integrate-and-fire models: a dynamical systems approach - Publication - Bridge of Knowledge

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Firing map for periodically and almost-periodically driven integrate-and-fire models: a dynamical systems approach

Abstract

We consider the Leaky Integrate-and-Fire and Perfect Integrator models of neuron’s dynamics with the input function being periodic and almost-periodic (in the sense of Stepanov). In particular we analyze properties and dynamics of the so-called firing map, which iterations give timings of consecutive spikes of a neuron. In case of a periodic input function we provide a detailed description of the sequence of interspike-intervals, which is based on a study of displacement sequences along trajectories of circle homeomorphisms.

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Category:
Conference activity
Type:
publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Title of issue:
Proceedings of the XVIII National Conference on Applications of Mathematics in Biology and Medicine strony 119 - 124
Language:
English
Publication year:
2012
Bibliographic description:
Signerska-Rynkowska J.: Firing map for periodically and almost-periodically driven integrate-and-fire models: a dynamical systems approach// Proceedings of the XVIII National Conference on Applications of Mathematics in Biology and Medicine/ : , 2012, s.119-124
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Gdańsk University of Technology

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