The Solution Expressions and the Periodicity Solutions of Some Nonlinear Discrete Systems

Alharbi, Turki D.; Elsayed, E. M.

doi:10.28919/cpr-pajm/2-3

Pan-Amer. J. Math.

2023

DOI: 10.28919/cpr-pajm/2-3

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The Solution Expressions and the Periodicity Solutions of Some Nonlinear Discrete Systems

Turki D. Alharbi¹,

E. M. Elsayed²

Abstract: The principle purpose of this paper is to investigate the long-term behaviors of some nonlinear systems of difference equations and obtain these solution expressions and periodicity character. Furthermore, we use MATLAB programming to simulate the dynamics and confirm our results.

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2024

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On the Dynamics of Some Higher-Order Nonlinear Difference Equations

Alharbi,

Hasan

2024

Mathematics

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This research investigates the dynamics of higher-order nonlinear difference equations, specifically concentrating on seventh-order instances. Analytical solutions are obtained for particular equations, a formidable task owing to the absence of explicit mathematical techniques for their resolution. The qualitative characteristics of solutions, such as their stability, boundedness, and periodicity, are analysed by theoretical methods and numerical simulations. The results indicate that equilibrium points frequently lack local asymptotic stability, leading to intricate phenomena such as unbounded solutions and periodic attractors. These findings augment our understanding of nonlinear difference equations, offering significant implications for their use across various scientific fields.

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On the Dynamics of Some Higher-Order Nonlinear Difference Equations

Alharbi,

Hasan

2024

Mathematics

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show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

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The Solution Expressions and the Periodicity Solutions of Some Nonlinear Discrete Systems

Abstract: The principle purpose of this paper is to investigate the long-term behaviors of some nonlinear systems of difference equations and obtain these solution expressions and periodicity character. Furthermore, we use MATLAB programming to simulate the dynamics and confirm our results.

Cited by 1 publication

References 5 publications

On the Dynamics of Some Higher-Order Nonlinear Difference Equations

On the Dynamics of Some Higher-Order Nonlinear Difference Equations

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