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Gdańsk University of Technology

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

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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Additional information

Category
Aktywność konferencyjna
Type
publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Language
angielski
Publication year
2012

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