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International Conference on Artificial Neural Networks

ICANN 2008: Artificial Neural Networks - ICANN 2008 pp 655–664Cite as

Bifurcations in Discrete-Time Delayed Hopfield Neural Networks of Two Neurons

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5164))

Abstract

This paper is devoted to the bifurcation analysis of a two-dimensional discrete-time delayed Hopfield-type neural network. In the most general framework considered so far in the known literature, the stability domain of the null solution and the bifurcations occurring at its boundary are described in terms of two characteristic parameters. By applying the center manifold theorem and the normal form theory, the direction and stability of the existing bifurcations are analyzed.

This work has been supported by the Romanian National Authority for Research under the contract PN-II-11028/14.09.2007 (NatComp - New Natural Computing Models in the Study of Complexity).

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, West University of Timisoara, Romania

    Eva Kaslik & Stefan Balint

Authors
  1. Eva Kaslik
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  2. Stefan Balint
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Editor information

Véra Kůrková Roman Neruda Jan Koutník

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© 2008 Springer-Verlag Berlin Heidelberg

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Kaslik, E., Balint, S. (2008). Bifurcations in Discrete-Time Delayed Hopfield Neural Networks of Two Neurons . In: Kůrková, V., Neruda, R., Koutník, J. (eds) Artificial Neural Networks - ICANN 2008. ICANN 2008. Lecture Notes in Computer Science, vol 5164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87559-8_68

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  • DOI: https://doi.org/10.1007/978-3-540-87559-8_68

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87558-1

  • Online ISBN: 978-3-540-87559-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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