Chaotic neural networks

A model of a single neuron with chaotic dynamics is proposed by considering the following properties of biological neurons: (1) graded responses, (2) relative refractoriness and (3) spatio-temporal summation of inputs. The model includes some conventional models of a neuron as its special cases; nam...

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Bibliographic Details
Published inPhysics letters. A Vol. 144; no. 6; pp. 333 - 340
Main Authors Aihara, K., Takabe, T., Toyoda, M.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 12.03.1990
Elsevier Science
Subjects
Exact sciences and technology
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Chaos
Bifurcation theory
Neural network
Lyapunov exponent
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Summary:A model of a single neuron with chaotic dynamics is proposed by considering the following properties of biological neurons: (1) graded responses, (2) relative refractoriness and (3) spatio-temporal summation of inputs. The model includes some conventional models of a neuron as its special cases; namely, chaotic dynamics is introduced as a natural extension of the former models. Chaotic solutions of both the single chaotic neuron and the chaotic neural network composed of such neurons are numerically demonstrated.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(90)90136-C