Stability of the Non-Hyperbolic Zero Equilibrium of Two Close-to-Symmetric Systems of Difference Equations with Exponential Terms

Abstract

In this paper, we study the stability of the zero equilibria of two close-to-symmetric systems of difference equations with exponential terms in the special case in which one of their eigenvalues is equal to − 1 and the other eigenvalue has an absolute value of less than 1. In the present study, we use the approach of center manifold theory.

Keywords

• difference equations
• stability
• center manifold