Coupled discrete fractional-order logistic maps

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Coupled discrete fractional-order logistic maps. / Danca, Marius F.; Fečkan, Michal; Kuznetsov, Nikolay; Chen, Guanrong.

In: Mathematics, Vol. 9, No. 18, 2204, 08.09.2021.

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

Author

Danca, Marius F. ; Fečkan, Michal ; Kuznetsov, Nikolay ; Chen, Guanrong. / Coupled discrete fractional-order logistic maps. In: Mathematics. 2021 ; Vol. 9, No. 18.

BibTeX

@article{4967a72f84f147e7be86eabedbbf7cc1,

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, EXISTENCE, PERIODIC-SOLUTIONS, fractional-order difference equation, NONEXISTENCE, STABILITY, caputo delta fractional difference, HIDDEN ATTRACTORS, DIFFERENCE, discrete fractional-order system, SYSTEMS, APPROXIMATION APPROACH, hidden attractor, OSCILLATIONS, CHAOTIC ATTRACTORS, stability",

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

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = sep,

day = "8",

doi = "10.3390/math9182204",

language = "English",

volume = "9",

journal = "Mathematics",

issn = "2227-7390",

publisher = "MDPI AG",

number = "18",

}

RIS

TY - JOUR

T1 - Coupled discrete fractional-order logistic maps

AU - Danca, Marius F.

AU - Fečkan, Michal

AU - Kuznetsov, Nikolay

AU - Chen, Guanrong

PY - 2021/9/8

Y1 - 2021/9/8

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

KW - EXISTENCE

KW - PERIODIC-SOLUTIONS

KW - fractional-order difference equation

KW - NONEXISTENCE

KW - STABILITY

KW - caputo delta fractional difference

KW - HIDDEN ATTRACTORS

KW - DIFFERENCE

KW - discrete fractional-order system

KW - SYSTEMS

KW - APPROXIMATION APPROACH

KW - hidden attractor

KW - OSCILLATIONS

KW - CHAOTIC ATTRACTORS

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=85114719039&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/aac6027c-0899-3e65-ba88-7b96df421197/

U2 - 10.3390/math9182204

DO - 10.3390/math9182204

M3 - Article

AN - SCOPUS:85114719039

VL - 9

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 18

M1 - 2204

ER -

ID: 85937106