Title
On Fractional Forms of Modified and Generalized Arnold Mappings
Abstract
In this paper, we propose some fractional forms of Arnold mappings and study the existence of chaos. Using discrete-time fractional calculus, we show that the general behavior of the proposed fractional maps depends on the fractional order. Numerical results are presented to illustrate the findings.
Year
DOI
Venue
2019
10.1109/MOCAST.2019.8741883
2019 8th International Conference on Modern Circuits and Systems Technologies (MOCAST)
Keywords
Field
DocType
Discrete-time fractional calculus,Arnold mappings,chaos
Pure mathematics,Fractional calculus,Mathematics
Conference
ISBN
Citations 
PageRank 
978-1-7281-1185-8
0
0.34
References 
Authors
8
5
Name
Order
Citations
PageRank
Amina-Aicha Khennaoui1103.00
Adel Ouannas2116.76
Grassi, G.304.06
Viet-Thanh Pham420434.06
Christos K. Volos514024.93