Premium
Dynamics of a three‐dimensional systems of rational difference equations
Author(s) -
Elsayed E. M.,
Ahmed A. M.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3540
Subject(s) - mathematics , dynamics (music) , one dimensional space , pure mathematics , mathematical analysis , mathematical physics , physics , acoustics
We investigate in this paper the solutions and the periodicity of the following rational systems of difference equations of three‐dimensionalx n + 1 =y nx n − 2x n − 2 ± z n − 1,y n + 1 =z ny n − 2y n − 2 ± x n − 1,z n + 1 =x nz n − 2z 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.