Bifurcation and Chaos Control of a System of Rational Difference Equations

Abstract

We study a system of rational dierence equations in this article. For equilibrium points, we present the stability conditions. In addition, we show that the system encounters period-doubling bifurcation at the trivial equilibrium point O and Neimark-Sacker bifurcation at the non-trivial equilibrium point E. To control the chaotic behavior of the system, we use the hybrid control approach. We also verify our theoretical outcomes at the end with some numerical applications.

Keywords

• stability
• bifurcation
• chaos control