Bifurcation structure of a discrete neuronal equation

DOI10.1016/0166-218X(88)90031-5zbMath0683.68047OpenAlexW2051922929MaRDI QIDQ1825037

Michel Cosnard, Driss Moumida, Eric Goles Chacc

Publication date: 1988

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-218x(88)90031-5

zbMATH Keywords

automatonbiomathematicsneuron modelglobal attractor-bifurcation

Mathematics Subject Classification ID

Formal languages and automata (68Q45) General biology and biomathematics (92B05) Software, source code, etc. for problems pertaining to biology (92-04)

Cites Work

• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Characterization of dynamical behavior associated with a single neural equation
• Quantitative universality for a class of nonlinear transformations
• Dynamical systems and operators associated with a single neuronic equation
• Similarity Structure and Scaling Property of the Period-Adding Phenomena
• Dynamical Behaviour of Neural Networks
• Chaotic Behavior in Piecewise Continuous Difference Equations
• On a response characteristic of a mathematical neuron model
• A logical calculus of the ideas immanent in nervous activity
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