On the Solutions of a System of Third-Order Rational Difference Equations. (3rd May 2018)

• Record Type: Journal Article
• Authors: Alotaibi, A. M.; Noorani, M. S. M.; El-Moneam, M. A.
• Other Names: Papashinopoulos Garyfalos Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2018(2018)
• Publication Date: 2018-05-03
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2018/1743540
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : The structure of the solutions for the system nonlinear difference equationsx n + 1 = y n y n - 2 / ( x n - 1 + y n - 2 ), y n + 1 = x n x n - 2 / ( ± y n - 1 ± x n - 2 ), n = 0, 1, …, is clarified in which the initial conditionsx - 2, x - 1, x 0, y - 2, y - 1, y 0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented.