Evolution of an Exponential Polynomial Family of Discrete Dynamical Systems

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,...

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Bibliographic Details
Main Author: Francisco Solis
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:http://www.mdpi.com/2297-8747/24/1/13
Description
Summary: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.
ISSN:2297-8747