Displaying the Structure of the Solutions for Some Fifth-Order Systems of Recursive Equations

This paper presents the solutions to the following nonlinear systems of rational difference equations: xn+1=xn−3yn−4/yn1+xn−1yn−2xn−3yn−4,yn+1=yn−3xn−4/xn±1±yn−1xn−2yn−3xn−4 where initial conditions x−δ,y−δδ=4,3,…,0 are nonnegative real numbers. Finally some numerical simulations are presented to ve...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2021; pp. 1 - 14
Main Authors Alayachi, H. S., Khan, A. Q., Noorani, M. S. M., Khaliq, A.
Format Journal Article
LanguageEnglish
Published New York Hindawi 12.01.2021
Hindawi Limited
Subjects
Applied mathematics
Difference equations
Initial conditions
Nonlinear systems
Real numbers
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Summary:This paper presents the solutions to the following nonlinear systems of rational difference equations: xn+1=xn−3yn−4/yn1+xn−1yn−2xn−3yn−4,yn+1=yn−3xn−4/xn±1±yn−1xn−2yn−3xn−4 where initial conditions x−δ,y−δδ=4,3,…,0 are nonnegative real numbers. Finally some numerical simulations are presented to verify obtained theoretical results.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/6682009