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Chaos control and anti-control of the heterogeneous Cournot oligopoly model

dc.contributor.authorLampart, Marek
dc.contributor.authorLampartová, Alžběta
dc.date.accessioned2020-12-15T11:15:07Z
dc.date.available2020-12-15T11:15:07Z
dc.date.issued2020
dc.identifier.citationMathematics. 2020, vol. 8, issue 10, art. no. 1670.cs
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10084/142490
dc.description.abstractThe 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.cs
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofseriesMathematicscs
dc.relation.urihttp://doi.org/10.3390/math8101670cs
dc.rights© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectheterogeneous Cournot oligopoly modelcs
dc.subject0-1 test for chaoscs
dc.subjectLyapunov exponentcs
dc.subjectbifurcationcs
dc.subjectchaos controlcs
dc.subjectchaos anti-controlcs
dc.titleChaos control and anti-control of the heterogeneous Cournot oligopoly modelcs
dc.typearticlecs
dc.identifier.doi10.3390/math8101670
dc.rights.accessopenAccesscs
dc.type.versionpublishedVersioncs
dc.type.statusPeer-reviewedcs
dc.description.sourceWeb of Sciencecs
dc.description.volume8cs
dc.description.issue10cs
dc.description.firstpageart. no. 1670cs
dc.identifier.wos000585119900001


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© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Except where otherwise noted, this item's license is described as © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.