Dynamics of a three‐dimensional systems of rational difference equations. (16th June 2015)

• Record Type: Journal Article
• Authors: Elsayed, E. M.; Ahmed, A. M.
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 5(2016:Mar. 30)
• Page Start: 1026
• Page End: 1038
• Publication Date: 2015-06-16
• Subjects: difference equations -- recursive sequences -- periodic solutions -- system of difference equations -- stability; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3540
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We investigate in this paper the solutions and the periodicity of the following rational systems of difference equations of three‐dimensional x n + 1 = y n x n − 2 x n − 2 ± z n − 1, y n + 1 = z n y n − 2 y n − 2 ± x n − 1, z n + 1 = x n z n − 2 z n − 2 ± y n − 1, with initial conditions x −2, x −1, x 0, y −2, y −1, y 0, z −2, z −1 and z 0 are nonzero real numbers. Copyright © 2015 John Wiley & Sons, Ltd.