Spike patterns and chaos in a map-based neuron model

DOI10.34768/AMCS-2023-0028zbMath1529.92009MaRDI QIDQ6069349

Piotr Bartłomiejczyk, Frank Llovera Trujillo, Justyna Signerska-Rynkowska

Publication date: 14 November 2023

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

zbMATH Keywords

chaosneuronal dynamics\(\beta\)-transformationsperiodic spikingFarey-Lorenz permutations

Mathematics Subject Classification ID

Neural biology (92C20) Chaotic behavior of solutions of difference equations (39A33)

Cites Work

• Periods and entropy for Lorenz-like maps
• Mixing properties in expanding Lorenz maps
• Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations
• Dynamic boundary crisis in the Lorenz-type map
• MAP BASED MODELS IN NEURODYNAMICS
• Towards Robustness in Neural Network Based Fault Diagnosis
• Chaotic oscillations in a map-based model of neural activity
• The Maximal Measure for Linear Mod One Transformations
• Transient chaos in the Lorenz-type map with periodic forcing
• Farey–Lorenz Permutations for Interval Maps
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