Computation of the topological entropy in chaotic biophysical bursting models for excitable cells

DOI10.1155/DDNS/2006/60918zbMath1106.92012MaRDI QIDQ871388

N. E. Zubov

Publication date: 19 March 2007

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126958

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Cell biology (92C37) Topological entropy (37B40) Symbolic dynamics (37B10)

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Cites Work

• Chaos in a three-variable model of an excitable cell
• Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
• Bifurcation, bursting, and spike frequency adaptation
• Reduction of a model of an excitable cell to a one-dimensional map
• Entropy of piecewise monotone mappings
• NEURAL EXCITABILITY, SPIKING AND BURSTING
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