On the dynamics of a 4d local Cournot model

Authors

Juan Luis Garc?a Guirao, Departamento de Matem?tica Aplicada y Estad?stica. Universidad Politécnica de Cartagena, Hospital de Marina, 30203-Cartagena, Regi?n de Murcia, SpainFollow
Marek Lampart
Guo Hua Zhang

Author Country (or Countries)

Spain

Abstract

The aim of this paper is to analyze the dynamics of a four dimensional system described in [Appl. Math. Let., 23, 836-838, (2010)], which generalizes the classical Cournot competition in a local way. In particular, by considering an aggregation parameter of production costs, we are able to describe for some ranges of the parameter: the periodic structure, the asymptotic dynamics and the chaotic properties of the system via the study of its topological entropy and the Li and Yorke chaos.

Suggested Reviewers

N/A

Recommended Citation

Luis Garc?a Guirao, Juan; Lampart, Marek; and Hua Zhang, Guo (2013) "On the dynamics of a 4d local Cournot model," Applied Mathematics & Information Sciences: Vol. 07: Iss. 3, Article 3.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss3/3