Bifurcating neuron: Computation and learning

DOI10.1016/j.neunet.2003.09.003zbMath1121.68383OpenAlexW2118665572WikidataQ44808994 ScholiaQ44808994MaRDI QIDQ1877569

Mykola Lysetskiy, Jacek M. Zurada

Publication date: 19 August 2004

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.neunet.2003.09.003

zbMATH Keywords

Bifurcating neuronChaotic attractorPeriod-3 orbit windowQuadratic logistic mapSaddle-node bifurcation

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Fixed-point bifurcation analysis in biological models using interval polynomials theory ⋮ MULTISTATE ASSOCIATIVE MEMORY WITH PARAMETRICALLY COUPLED MAP NETWORKS ⋮ Crisis of interspike intervals in Hodgkin-Huxley model

Cites Work

• Unnamed Item
• Unnamed Item
• Associative dynamics in a chaotic neural network.
• A first course in discrete dynamical systems
• Hopf bifurcations in multiple-parameter space of the Hodgkin-Huxley equations. I: Global organization of bistable periodic solutions
• Topological analysis of chaos in neural spike train bursts
• Homoclinic bifurcation in a Hodgkin–Huxley model of thermally sensitive neurons
• NEURAL EXCITABILITY, SPIKING AND BURSTING