Global stability of local fractional Hénon-Lozi map using fixed point theory
Loading...
Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
We present an innovative piecewise smooth mapping of the plane as a parametric discrete-time chaotic system that has robust chaos over a share of its significant organization parameters and includes the generalized Henon and Lozi schemes as two excesses and other arrangements as an evolution in between. To obtain the fractal Henon and Lozi system, the generalized Henon and Lozi system is defined by adopting the fractal idea (FHLS). The recommended system's dynamical performances are investigated from many angles, such as global stability in terms of the set of fixed points.
Description
Keywords
Fractional Calculus, Differential Operator, Fractional Differential Equation, Fractal Chaotic, Fractal
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Ibrahim, Rabha W.; Baleanu, D. (2022). "Global stability of local fractional Hénon-Lozi map using fixed point theory", AIMS Mathematics, Vol. 7, No.6, pp.11399-11416.
WoS Q
Q1
Scopus Q
Q1
Source
Volume
7
Issue
6
Start Page
11399
End Page
11416