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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 7 > No. 3


On the dynamics of a 4d local Cournot model

PP: 857-865
Juan Luis Garc?a Guirao, Marek Lampart, Guo Hua Zhang,
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.

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