Horseshoe chaos in a class of simple Hopfield neural networks

Quan Yuan, Qingdu Li and Xiao-Song Yang

Chaos, Solitons & Fractals, 2009, vol. 39, issue 4, 1522-1529

Abstract: A class of new simple Hopfield neural networks is revisited. To confirm the chaotic behavior in these Hopfield neural networks demonstrated in numerical studies, we resort to Poincaré section and Poincaré map technique and present a rigorous verification of existence of horseshoe chaos by virtue of topological horseshoes theory and estimates of topological entropy in the derived Poincaré maps.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:4:p:1522-1529

DOI: 10.1016/j.chaos.2007.06.037

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