Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation

In this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. Finally, obtained results are verified numerically.

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Main Authors: Abdul Qadeer Khan, Hamdy El-Metwally
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/1896838
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author Abdul Qadeer Khan
Hamdy El-Metwally
author_facet Abdul Qadeer Khan
Hamdy El-Metwally
author_sort Abdul Qadeer Khan
collection DOAJ
description In this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. Finally, obtained results are verified numerically.
format Article
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institution Kabale University
issn 1026-0226
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language English
publishDate 2021-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-6cf4d655ffb041e48cfcfb8a365ea7152025-02-03T01:25:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/18968381896838Global Dynamics, Boundedness, and Semicycle Analysis of a Difference EquationAbdul Qadeer Khan0Hamdy El-Metwally1Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, PakistanDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptIn this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. Finally, obtained results are verified numerically.http://dx.doi.org/10.1155/2021/1896838
spellingShingle Abdul Qadeer Khan
Hamdy El-Metwally
Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
Discrete Dynamics in Nature and Society
title Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
title_full Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
title_fullStr Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
title_full_unstemmed Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
title_short Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
title_sort global dynamics boundedness and semicycle analysis of a difference equation
url http://dx.doi.org/10.1155/2021/1896838
work_keys_str_mv AT abdulqadeerkhan globaldynamicsboundednessandsemicycleanalysisofadifferenceequation
AT hamdyelmetwally globaldynamicsboundednessandsemicycleanalysisofadifferenceequation