On the Stability of Commensurate Fractional-Order Lorenz System

Iqbal H. Jebril; Iqbal M. Batiha

doi:10.18576/pfda/080305

On the Stability of Commensurate Fractional-Order Lorenz System

Iqbal H. Jebril
, Iqbal M. Batiha

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
Irbid National University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In the presented work, with the help of using Adomian decomposition nethod (ADM), two particular situations connected to the equilibria’s stability of the nonlinear fractional-order Lorenz system (FoLS) are examined and confirmed numerically. Such situations can be extremely valuable for discerning between several other situations that might be employed to explore the stability of Lorenz system. In this study, all numerical simulations are carried out by using MATLAB software package.

Original language	English
Pages (from-to)	401-407
Number of pages	7
Journal	Progress in Fractional Differentiation and Applications
Volume	8
Issue number	3
DOIs	https://doi.org/10.18576/pfda/080305
State	Published - Jul 2022

Keywords

Fractional calculus
Fractional-order lorenz system
Stability.

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10.18576/pfda/080305

Cite this

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abstract = "In the presented work, with the help of using Adomian decomposition nethod (ADM), two particular situations connected to the equilibria{\textquoteright}s stability of the nonlinear fractional-order Lorenz system (FoLS) are examined and confirmed numerically. Such situations can be extremely valuable for discerning between several other situations that might be employed to explore the stability of Lorenz system. In this study, all numerical simulations are carried out by using MATLAB software package.",

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AU - Batiha, Iqbal M.

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N2 - In the presented work, with the help of using Adomian decomposition nethod (ADM), two particular situations connected to the equilibria’s stability of the nonlinear fractional-order Lorenz system (FoLS) are examined and confirmed numerically. Such situations can be extremely valuable for discerning between several other situations that might be employed to explore the stability of Lorenz system. In this study, all numerical simulations are carried out by using MATLAB software package.

AB - In the presented work, with the help of using Adomian decomposition nethod (ADM), two particular situations connected to the equilibria’s stability of the nonlinear fractional-order Lorenz system (FoLS) are examined and confirmed numerically. Such situations can be extremely valuable for discerning between several other situations that might be employed to explore the stability of Lorenz system. In this study, all numerical simulations are carried out by using MATLAB software package.

KW - Fractional calculus

KW - Fractional-order lorenz system

KW - Stability.

UR - https://www.scopus.com/pages/publications/85136701250

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DO - 10.18576/pfda/080305

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ER -

On the Stability of Commensurate Fractional-Order Lorenz System

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Keywords

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