Periodicty and Stability of Solutions of Rational Difference Systems
- *Corresponding Author:
- E. M. Elabbasy
Department of Mathematics
Faculty of Science, Mansoura University
Mansoura, 35516, Egypt
E-mail: [email protected]
Received Date: May 25, 2012; Accepted Date: June 19, 2012; Published Date: June 22, 2012
Citation: Elabbasy EM, Eleissawy SM (2012) Periodicty and Stability of Solutions of Rational Difference Systems. J Appl Computat Math 1:114. doi: 10.4172/2168-9679.1000114
Copyright: © 2012 Elabbasy EM, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
We study the stability character and periodic solutions of the following rational difference systems
= 1 , = 1 ,
n n n n
x x y y
y x x y
where the initial values 1 0 1 0 x , x , y , y − − are nonzero real numbers. Some numerical examples are given to illustrate our results.