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Coupled Discrete Fractional-Order Logistic Maps

Year of publication

2021

Authors

Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay; Chen, Guanrong

Abstract

This paper studies a system of coupled discrete fractional-order logistic maps, modeled by Caputo’s delta fractional difference, regarding its numerical integration and chaotic dynamics. Some interesting new dynamical properties and unusual phenomena from this coupled chaotic-map system are revealed. Moreover, the coexistence of attractors, a necessary ingredient of the existence of hidden attractors, is proved and analyzed.
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Organizations and authors

University of Jyväskylä

Kuznetsov Nikolay

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Publisher

MDPI AG

Volume

9

Issue

18

Article number

2204

​Publication forum

84607

Open access

Open access in the publisher’s service

Yes

Open access of publication channel

Fully open publication channel

Self-archived

Yes

Other information

Fields of science

Mathematics

Keywords

[object Object],[object Object]

Publication country

Switzerland

Internationality of the publisher

International

Language

English

International co-publication

Yes

Co-publication with a company

No

DOI

10.3390/math9182204

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes