Coupled Discrete Fractional-Order Logistic Maps
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...
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2021-09-01
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Online Access: | https://www.mdpi.com/2227-7390/9/18/2204 |
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doaj-655d693121a14e2b90b71c9e42d4d8862021-09-26T00:37:56ZengMDPI AGMathematics2227-73902021-09-0192204220410.3390/math9182204Coupled Discrete Fractional-Order Logistic MapsMarius-F. Danca0Michal Fečkan1Nikolay Kuznetsov2Guanrong Chen3Romanian Institute of Science and Technology, 400504 Cluj-Napoca, RomaniaFaculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, 84215 Bratislava, SlovakiaMathematics and Mechanics Faculty, Saint-Petersburg State University, 199034 Saint Petersburg, RussiaDepartment of Electronic Engineering, City University of Hong Kong, Hong Kong, ChinaThis 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.https://www.mdpi.com/2227-7390/9/18/2204discrete fractional-order systemcaputo delta fractional differencefractional-order difference equationstabilityhidden attractor |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Marius-F. Danca Michal Fečkan Nikolay Kuznetsov Guanrong Chen |
spellingShingle |
Marius-F. Danca Michal Fečkan Nikolay Kuznetsov Guanrong Chen Coupled Discrete Fractional-Order Logistic Maps Mathematics discrete fractional-order system caputo delta fractional difference fractional-order difference equation stability hidden attractor |
author_facet |
Marius-F. Danca Michal Fečkan Nikolay Kuznetsov Guanrong Chen |
author_sort |
Marius-F. Danca |
title |
Coupled Discrete Fractional-Order Logistic Maps |
title_short |
Coupled Discrete Fractional-Order Logistic Maps |
title_full |
Coupled Discrete Fractional-Order Logistic Maps |
title_fullStr |
Coupled Discrete Fractional-Order Logistic Maps |
title_full_unstemmed |
Coupled Discrete Fractional-Order Logistic Maps |
title_sort |
coupled discrete fractional-order logistic maps |
publisher |
MDPI AG |
series |
Mathematics |
issn |
2227-7390 |
publishDate |
2021-09-01 |
description |
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. |
topic |
discrete fractional-order system caputo delta fractional difference fractional-order difference equation stability hidden attractor |
url |
https://www.mdpi.com/2227-7390/9/18/2204 |
work_keys_str_mv |
AT mariusfdanca coupleddiscretefractionalorderlogisticmaps AT michalfeckan coupleddiscretefractionalorderlogisticmaps AT nikolaykuznetsov coupleddiscretefractionalorderlogisticmaps AT guanrongchen coupleddiscretefractionalorderlogisticmaps |
_version_ |
1716870166852141056 |