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Characterization of periodic attractors in neural ring networks

Authors
Journal
Neural Networks
0893-6080
Publisher
Elsevier
Publication Date
Volume
8
Issue
3
Identifiers
DOI: 10.1016/0893-6080(94)00085-z
Keywords
  • Mathematical And Computational Analysis

Abstract

Abstract The paper presents a discussion of parameterized discrete dynamics of neural ring networks. For specific parameter domains stable periodic orbits coexist. Their periods and the number of orbits of a given period are determined. Even n-rings (i.e., rings with an even number of inhibitory connections) exhibit mainly stable period-n orbits. Odd n-rings display mainly stable period-2n orbits. The dynamical effects of inhibitory connections are analysed, and a characterization of attractors in terms of their “firing pattern” is presented.

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