The Form of the Solutions and Periodicity of Some Systems of Difference Equations. (15th August 2012)

• Record Type: Journal Article
• Authors: Mansour, M.; El-Dessoky, M. M.; Elsayed, E. M.
• Other Names: Papaschinopoulos Garyfalos Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2012(2012)
• Publication Date: 2012-08-15
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2012/406821
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : This paper is devoted to get the form of the solutions and the periodic nature of the following systems of rational difference equations x n + 1 = x n - 5 / ( - 1 + x n - 5 y n - 2 ), y n + 1 = y n - 5 / ( ± 1 ± y n - 5 x n - 2 ), where the initial conditions are real numbers.