Evolution of an Exponential Polynomial Family of Discrete Dynamical Systems

Abstract

In this paper, we introduce and analyze a family of exponential polynomial discrete dynamical systems that can be considered as functional perturbations of a linear dynamical system. The stability analysis of equilibria of this family is performed by considering three different parametric scenarios, from which we show the intricate and complex dynamical behavior of their orbits.

Keywords

• exponential polynomial
• discrete dynamical systems
• convergence