Wyniki wyszukiwania dla: CIRCLE MAPS

• Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations

  Publikacja

  • J. Rubin
  • J. Signerska-Rynkowska
  • J. Touboul
  • A. Vidal

  - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B - Rok 2017

  This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission. We show that these models can generically display a form of mixed-mode oscillations (MMOs), which are trajectories featuring an alternation of small oscillations with spikes or bursts (multiple consecutive spikes). The mechanism by...

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• Analysis of Interspike-Intervals for the General Class of Integrate-and-Fire Models with Periodic Drive

  Publikacja

  • J. Signerska-Rynkowska

  - Mathematical Modelling and Analysis - Rok 2015

  We study one-dimensional integrate-and-fire models of the general type x˙=F (t, x) and analyze properties of the firing map which iterations recover consecutive spike timings. We impose very week constraints for the regularity of the function F (t, x), e.g. often it suffices to assume that F is continuous. If additionally F is periodic in t, using mathematical study of the displacement sequence of an orientation preserving circle...

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