Search results for: FOLD BIFURCATION

• Periodic and chaotic dynamics in a map‐based neuron model

  Publication

  • F. Llovera Trujillo
  • J. Signerska-Rynkowska
  • P. Bartłomiejczyk

  - MATHEMATICAL METHODS IN THE APPLIED SCIENCES - Year 2023

  Map-based neuron models are an important tool in modeling neural dynamics and sometimes can be considered as an alternative to usually computationally costlier models based on continuous or hybrid dynamical systems. However, due to their discrete nature, rigorous mathematical analysis might be challenging. We study a discrete model of neuronal dynamics introduced by Chialvo in 1995. In particular, we show that its reduced one-dimensional...

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