The Dynamic and Discrete Systems of Variable Fractional Order in the Sense of the Lozi Structure Map
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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OpenAIRE Views
Publicly Funded
No
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Impulse
Top 10%
Influence
Average
Popularity
Top 10%
Abstract
The variable fractional Lozi map (VFLM) and the variable fractional flow map are two separate systems that we propose in this inquiry. We study several key dynamics of these maps. We also investigate the sufficient and necessary requirements for the stability and asymptotic stability of the variable fractional dynamic systems. As a result, we provide VFLM with the necessary criteria to produce stable and asymptotically stable zero solutions. Furthermore, we propose a combination of these maps in control rules intended to stabilize the system. In this analysis, we take the 1D-and 2D-controller laws as givens.
Description
Keywords
Fractional Calculus, Discrete System, Variable Fractional Differential Operators, Lozi System, Fractional Differential Equation, Artificial intelligence, Economics, Fractional Order Control, Control (management), fractional calculus, Mathematical analysis, Quantum mechanics, lozi system, variable fractional differential operators, Engineering, fractional differential equation, Machine learning, QA1-939, FOS: Mathematics, Control theory (sociology), Variable (mathematics), Stability (learning theory), Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Analysis and Design of Fractional Order Control Systems, Discontinuous Systems, Bifurcations in Planar Polynomial Systems, Physics, Controller (irrigation), Fractional calculus, Stability theory, Applied mathematics, Computer science, Agronomy, Fractional Derivatives, Stability Analysis, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, discrete system, Nonlinear system, Geometry and Topology, Mathematics, Finance
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Al-Saidi, Nadia M. G.;...et. al. (2023). "The dynamic and discrete systems of variable fractional order in the sense of the Lozi structure map", AIMS Mathematics, Vol.8, No.1, pp.733-751.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
3
Source
AIMS Mathematics
Volume
8
Issue
1
Start Page
733
End Page
751
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Citations
Scopus : 8
SCOPUS™ Citations
8
checked on Apr 10, 2026
Web of Science™ Citations
6
checked on Apr 10, 2026
Page Views
3
checked on Apr 10, 2026
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