Search results for: NONLINEAR NEURODYNAMICS

• Topological-numerical analysis of a two-dimensional discrete neuron model

  Publication

  • P. Pilarczyk
  • J. Signerska-Rynkowska
  • G. Graff

  - CHAOS - Year 2023

  We conduct computer-assisted analysis of a two-dimensional model of a neuron introduced by Chialvo in 1995 [Chaos, Solitons Fractals 5, 461–479]. We apply the method of rigorous analysis of global dynamics based on a set-oriented topological approach, introduced by Arai et al. in 2009 [SIAM J. Appl. Dyn. Syst. 8, 757–789] and improved and expanded afterward. Additionally, we introduce a new algorithm to analyze the return times...

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