Hidden chaotic sets in a Hopfield neural system. (October 2017)

• Record Type: Journal Article
• Authors: Danca, Marius-F.; Kuznetsov, Nikolay
• Is Part Of: Chaos, solitons and fractals. Volume 103(2017)
• Page Start: 144
• Page End: 150
• Publication Date: 2017-10
• Subjects: Hopfield neural network -- Hidden chaotic attractor -- Hidden chaotic transient -- Limit cycle; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.06.002
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A Hopfield neural network is considered. Pair of hidden chaotic attractors and transients are identified. No hidden chaotic attractors found in this system. Abstract: 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.