A1 Journal article (refereed)
Coupled Discrete Fractional-Order Logistic Maps (2021)

Danca, Marius-F., Fečkan, M., Kuznetsov, N., & Chen, G. (2021). Coupled Discrete Fractional-Order Logistic Maps. Mathematics, 9(18), Article 2204. https://doi.org/10.3390/math9182204

JYU authors or editors

Publication details

All authors or editors: Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay; Chen, Guanrong

Journal or series: Mathematics

eISSN: 2227-7390

Publication year: 2021

Publication date: 08/09/2021

Volume: 9

Issue number: 18

Article number: 2204

Publisher: MDPI AG

Publication country: Switzerland

Publication language: English

DOI: https://doi.org/10.3390/math9182204

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/78341

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.

Keywords: dynamical systems; attractors

Free keywords: discrete fractional-order system; caputo delta fractional difference; fractional-order difference equation; stability; hidden attractor

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2021

JUFO rating: 0