Coupled discrete fractional-order logistic maps

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

doi:10.3390/math9182204

Coupled discrete fractional-order logistic maps

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

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

9 Citations (Scopus)

88 Downloads (CityUHK Scholars)

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.

Original language	English
Article number	2204
Journal	Mathematics
Volume	9
Issue number	18
Online published	8 Sept 2021
DOIs	https://doi.org/10.3390/math9182204
Publication status	Published - Sept 2021

Research Keywords

Caputo delta fractional difference
Discrete fractional-order system
Fractional-order difference equation
Hidden attractor
Stability

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This full text is made available under CC-BY 4.0. https://creativecommons.org/licenses/by/4.0/

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title = "Coupled discrete fractional-order logistic maps",

abstract = "This paper studies a system of coupled discrete fractional-order logistic maps, modeled by Caputo{\textquoteright}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.",

keywords = "Caputo delta fractional difference, Discrete fractional-order system, Fractional-order difference equation, Hidden attractor, Stability",

author = "Marius-F. Danca and Michal Fe{\v c}kan and Nikolay Kuznetsov and Guanrong Chen",

year = "2021",

month = sep,

doi = "10.3390/math9182204",

language = "English",

volume = "9",

journal = "Mathematics",

issn = "2227-7390",

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T1 - Coupled discrete fractional-order logistic maps

AU - Danca, Marius-F.

AU - Fečkan, Michal

AU - Kuznetsov, Nikolay

AU - Chen, Guanrong

PY - 2021/9

Y1 - 2021/9

N2 - 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.

AB - 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.

KW - Caputo delta fractional difference

KW - Discrete fractional-order system

KW - Fractional-order difference equation

KW - Hidden attractor

KW - Stability

UR - https://www.scopus.com/pages/publications/85114719039

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85114719039&origin=recordpage

U2 - 10.3390/math9182204

DO - 10.3390/math9182204

M3 - RGC 21 - Publication in refereed journal

SN - 2227-7390

VL - 9

JO - Mathematics

JF - Mathematics

IS - 18

M1 - 2204

ER -

Coupled discrete fractional-order logistic maps

Abstract

Research Keywords

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