Coupled Discrete Fractional-Order Logistic Maps
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.
Main Authors
Format
Articles
Research article
Published
2021
Series
Subjects
Publication in research information system
Publisher
MDPI AG
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202110265371Use this for linking
Review status
Peer reviewed
ISSN
2227-7390
DOI
https://doi.org/10.3390/math9182204
Language
English
Published in
Mathematics
Citation
- 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
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Additional information about funding
M.F. is partially supported by the Slovak Research and Development Agency under the contract No. APVV-18-0308 and by the Slovak Grant Agency VEGA No. 1/0358/20 and No. 2/0127/20. N.K. and M.-F.D. acknowledge support from the Russian Science Foundation project 19-41-02002.
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