Title
A New Fractional-Order Map and Its Control
Abstract
In this work, we propose a new fractional-order form of a discrete-time system based on modified logistic map. Some of the important dynamics of this fractional map including the bifurcation graphs have been studied. In addition, we propose a control law aimed at stabilizing the proposed fractional map. Numerical simulations are also presented to confirm the main findings of the study.
Year
DOI
Venue
2019
10.1109/MOCAST.2019.8741910
2019 8th International Conference on Modern Circuits and Systems Technologies (MOCAST)
Keywords
Field
DocType
Discrete fractional calculus,chaos,bifurcation,modified logistic map
Graph,Applied mathematics,Logistic map,Mathematics,Bifurcation
Conference
ISBN
Citations 
PageRank 
978-1-7281-1185-8
0
0.34
References 
Authors
8
5
Name
Order
Citations
PageRank
Adel Ouannas1116.76
Amina-Aicha Khennaoui2103.00
Grassi, G.304.06
Viet-Thanh Pham420434.06
Christos K. Volos514024.93