Coupled Discrete Fractional-Order Logistic Maps

Marius-F. Danca, Michal Fečkan, Nikolay Kuznetsov and Guanrong Chen
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Marius-F. Danca: Romanian Institute of Science and Technology, 400504 Cluj-Napoca, Romania
Michal Fečkan: Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, 84215 Bratislava, Slovakia
Nikolay Kuznetsov: Mathematics and Mechanics Faculty, Saint-Petersburg State University, 199034 Saint Petersburg, Russia
Guanrong Chen: Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China

Mathematics, 2021, vol. 9, issue 18, 1-14

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: discrete fractional-order system; caputo delta fractional difference; fractional-order difference equation; stability; hidden attractor (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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