Chaos Control and Anti-Control of the Heterogeneous Cournot Oligopoly Model

The main aim of this paper focuses on chaos suppression (control) and stimulation (anti-control) of a heterogeneous Cournot oligopoly model. This goal is reached by applying the theory of dynamical systems, namely impulsive control. The main aim was to demonstrate, through massive numerical simulati...

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Bibliographic Details
Main Authors: Marek Lampart, Alžběta Lampartová
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/10/1670
Description
Summary:The main aim of this paper focuses on chaos suppression (control) and stimulation (anti-control) of a heterogeneous Cournot oligopoly model. This goal is reached by applying the theory of dynamical systems, namely impulsive control. The main aim was to demonstrate, through massive numerical simulations and estimation of the maximal Lyapunov exponent, the 0-1test for chaos, and bifurcation analysis, that it is possible to control the dynamical behavior of the investigated model by finding injection values under which the desired phenomena are attained. Moreover, it was shown that there are injection values for which the injected system admits a self-excited cycle or chaotic trajectory.
ISSN:2227-7390