- MANAS Journal of Engineering
- Volume:11 Issue:1
- The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order
The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order
Authors : Burak OĞUL, Dağıstan ŞİMŞEK, Ibrahim TAREK FAWZİ ABDELHAMİD
Pages : 158-165
Doi:10.51354/mjen.1233063
View : 59 | Download : 66
Publication Date : 2023-07-01
Article Type : Research Paper
Abstract :We explore the dynamics of adhering to rational difference formula $$ \\psi_{m+1}=\\frac{\\psi_{m-20}}{\\pm 1 \\pm \\psi_{m-2}\\psi_{m-5}\\psi_{m-8}\\psi_{m-11}\\psi_{m-14}\\psi_{m-17}\\psi_{m-20}}, \\quad m \\in \\mathbb{N}_{0} $$ where the initials are arbitrary nonzero real numbers. Specifically, we examine global asymptotically stability. Additionally, we provide examples and solutions graphs of some special cases.Keywords : Equilibrium point, solution of difference equation, stability, boundedness, global asymptotic stability