Hidden chaotic sets in a Hopfield neural system

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Department of Applied Cybernetics

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DOI

https://doi.org/10.1016/j.chaos.2017.06.002
Final published version

Marius F. Danca
Nikolay Kuznetsov

In this paper we unveil the existence of hidden chaotic sets in a simplified Hopfield neural network with three neurons. It is shown that beside two stable cycles, the system presents hidden chaotic attractors and also hidden chaotic transients which, after a relatively long life-time, fall into regular motions along the stable cycles.

Original language	English
Pages (from-to)	144-150
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	103
DOIs	https://doi.org/10.1016/j.chaos.2017.06.002
State	Published - 1 Oct 2017

Scopus subject areas

Mathematics(all)

Research areas

Hidden chaotic attractor, Hidden chaotic transient, Hopfield neural network, Limit cycle

ID: 38672514