Title
On Chaos in the Fractional-Order Discrete-Time Unified System and Its Control Synchronization.
Abstract
In this paper, we propose a fractional map based on the integer-order unified map. The chaotic behavior of the proposed map is analyzed by means of bifurcations plots, and experimental bounds are placed on the parameters and fractional order. Different control laws are proposed to force the states to zero asymptotically and to achieve the complete synchronization of a pair of fractional unified maps with identical or nonidentical parameters. Numerical results are used throughout the paper to illustrate the findings.
Year
DOI
Venue
2018
10.3390/e20070530
ENTROPY
Keywords
Field
DocType
fractional unified map,unified map,fractional discrete calculus,chaos control,chaos synchronization
Applied mathematics,Synchronization,Mathematical optimization,Discrete time and continuous time,Mathematics
Journal
Volume
Issue
ISSN
20
7
1099-4300
Citations 
PageRank 
References 
4
0.44
7
Authors
5
Name
Order
Citations
PageRank
Amina-Aicha Khennaoui1103.00
Adel Ouannas2116.76
Samir Bendoukha3185.95
Xiong Wang415216.76
Viet-Thanh Pham520434.06