Global Stability of Local Fractional Henon-Lozi Map Using Fixed Point Theory
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Average
Popularity
Top 10%
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, fractal, fractional differential equation, differential operator, QA1-939, fractional calculus, fractal chaotic, Mathematics
Fields of Science
0103 physical sciences, 01 natural sciences
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
OpenCitations Citation Count
5
Source
AIMS Mathematics
Volume
7
Issue
6
Start Page
11399
End Page
11416
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Citations
Scopus : 8
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