Title
On The Dynamics And Control Of A Fractional Form Of The Discrete Double Scroll
Abstract
This paper is concerned with the dynamics and control of the fractional version of the discrete double scroll hyperchaotic map. Using phase portraits and bifurcation diagrams, we show that the general behavior of the proposed map depends on the fractional order. We also present two control schemes for the proposed map, one that adaptively stabilizes the map, and another to achieve the complete synchronization of a pair of maps. Numerical results are presented to illustrate the findings.
Year
DOI
Venue
2019
10.1142/S0218127419500780
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Discrete fractional chaos, fractional double scroll, fractional bifurcation, stabilization, synchronization
Scroll,Synchronization,Mathematical analysis,Phase portrait,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
29
6
0218-1274
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Adel Ouannas1116.76
Amina-Aicha Khennaoui2103.00
Samir Bendoukha3185.95
Grassi, G.404.06