Title of article :
Stability and Periodic Nature of a System of Difference Equations
Author/Authors :
Taşdemir, Erkan Kırklareli University University - Pinarhisar Vocational School, Kırklareli, Turkey
Abstract :
In this paper, we investigate the equilibrium points of following a system of difference equations xn+1=xn−2yn−1,yn+1=yn−2xn−1. We also study the asymptotic stability of related system of difference equations. Further we examine the periodic solutions of related system with period two. Additionally, we find out the invariant interval and periodic cycles of related system of difference equations.
Keywords :
Difference equations , discrete dynamical systems , equilibrium points , stability , periodicity , invariant
Journal title :
International Journal of Nonlinear Analysis and Applications
