On dynamics and solution expressions of a three dimensional nonlinear difference equations system

Autor:	Faiza Al-Rakhami, E Elsayed
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Rational difference equations solution of system of difference equation periodic solution recursive sequences local stability Probabilities. Mathematical statistics QA273-280 Instruments and machines QA71-90
Zdroj:	Journal of Innovative Applied Mathematics and Computational Sciences, Vol 3, Iss 1 (2023)
Druh dokumentu:	article
ISSN:	2773-4196
DOI:	10.58205/jiamcs.v3i1.130
Popis:	In this paper, we construct the solution expressions of fourth order nonlinear difference systems Φn+1 = Φn−2Ψn−3 , α + Ψn (±1 ± Γn−1Φn−2Ψn−3) Ψn+1 = Ψn−2Γn−3 , δ + Γn (±1 ± Φn−1Ψn−2Γn−3) Γn+1 = Γn−2Φn−3 , γ + Φn (±1 ± Ψn−1Γn−2Φn−3) where α, δ and γ are arbitrary real numbers. Furthermore, the solution’s qualitative behavior is explored, such as local stability and boundedness. In some cases, system has periodic solutions. Finally, we provide numerical examples to support our conclusions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/95a1382b8fdf424ebf59b6a42ca61361 Zobrazit plný text záznamu View record in DOAJ