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Hidden chaotic sets in a Hopfield neural system. / Danca, Marius F.; Kuznetsov, Nikolay.

In: Chaos, Solitons and Fractals, Vol. 103, 01.10.2017, p. 144-150.

Research output: Contribution to journal › Article › peer-review

Harvard

Danca, MF & Kuznetsov, N 2017, 'Hidden chaotic sets in a Hopfield neural system', Chaos, Solitons and Fractals, vol. 103, pp. 144-150. https://doi.org/10.1016/j.chaos.2017.06.002

APA

Danca, M. F., & Kuznetsov, N. (2017). Hidden chaotic sets in a Hopfield neural system. Chaos, Solitons and Fractals, 103, 144-150. https://doi.org/10.1016/j.chaos.2017.06.002

Vancouver

Danca MF, Kuznetsov N. Hidden chaotic sets in a Hopfield neural system. Chaos, Solitons and Fractals. 2017 Oct 1;103:144-150. https://doi.org/10.1016/j.chaos.2017.06.002

Author

Danca, Marius F. ; Kuznetsov, Nikolay. / Hidden chaotic sets in a Hopfield neural system. In: Chaos, Solitons and Fractals. 2017 ; Vol. 103. pp. 144-150.

BibTeX

@article{8d9a97389d4447048d473f7955c1f13c,
title = "Hidden chaotic sets in a Hopfield neural 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.",
keywords = "Hidden chaotic attractor, Hidden chaotic transient, Hopfield neural network, Limit cycle",
author = "Danca, {Marius F.} and Nikolay Kuznetsov",
year = "2017",
month = oct,
day = "1",
doi = "10.1016/j.chaos.2017.06.002",
language = "English",
volume = "103",
pages = "144--150",
journal = "Chaos, Solitons and Fractals",
issn = "0960-0779",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Hidden chaotic sets in a Hopfield neural system

AU - Danca, Marius F.

AU - Kuznetsov, Nikolay

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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.

AB - 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.

KW - Hidden chaotic attractor

KW - Hidden chaotic transient

KW - Hopfield neural network

KW - Limit cycle

UR - http://www.scopus.com/inward/record.url?scp=85020292271&partnerID=8YFLogxK

U2 - 10.1016/j.chaos.2017.06.002

DO - 10.1016/j.chaos.2017.06.002

M3 - Article

AN - SCOPUS:85020292271

VL - 103

SP - 144

EP - 150

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

ER -

ID: 38672514