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Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions

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  • Alexander N. Pisarchik
  • Michael A. Radin
  • Ryan Vogt

Abstract

We introduce a nonautonomous discrete neuron model based on the Rulkov map and investigate its dynamics. Using both the linear stability and bifurcation analyses of the system of piecewise difference equations, we determine dynamical bifurcations and parameter regions of steady-state and periodic solutions.

Suggested Citation

  • Alexander N. Pisarchik & Michael A. Radin & Ryan Vogt, 2015. "Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-6, June.
    • Handle: RePEc:hin:jnddns:147282
    DOI: 10.1155/2015/147282
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