Periodicty and Stability of Solutions of Rational Difference Systems

E. M. Elabbasy; S. M. Eleissawy

doi:10.4172/2168-9679.1000114

Periodicty and Stability of Solutions of Rational Difference Systems

Abstract

E. M. Elabbasy and S. M. Eleissawy

We study the stability character and periodic solutions of the following rational difference systems
1 1
1 1
1 1
= 1 , = 1 ,
1 1
n n
n n
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.