New class of chaotic systems with circular equilibrium

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dc.contributor.authorGötthans, Tomášcs
dc.contributor.authorPetržela, Jiřícs
dc.coverage.issue04cs
dc.coverage.volume81cs
dc.date.issued2015-04-10cs
dc.description.abstractThis paper brings a new mathematical model of the third-order autonomous deterministic dynamical system with associated chaotic motion. Its unique property lies in the existence of circular equilibrium which was not, by referring to the best knowledge of the authors, so far reported. Both mathematical analysis and circuitry implementation of the corresponding differential equations are presented. It is shown that discovered system provides a structurally stable strange attractor which fulfills fractal dimensionality and geometrical density and is bounded into a finite state space volume.en
dc.description.abstractThis paper brings a new mathematical model of the third-order autonomous deterministic dynamical system with associated chaotic motion. Its unique property lies in the existence of circular equilibrium which was not, by referring to the best knowledge of the authors, so far reported. Both mathematical analysis and circuitry implementation of the corresponding differential equations are presented. It is shown that discovered system provides a structurally stable strange attractor which fulfills fractal dimensionality and geometrical density and is bounded into a finite state space volume.en
dc.formattextcs
dc.format.extent1143-1149cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationNONLINEAR DYNAMICS. 2015, vol. 81, issue 04, p. 1143-1149.en
dc.identifier.doi10.1007/s11071-015-2056-7cs
dc.identifier.issn0924-090Xcs
dc.identifier.orcid0000-0002-0386-1813cs
dc.identifier.orcid0000-0001-5286-9574cs
dc.identifier.other114645cs
dc.identifier.researcheridDZG-2188-2022cs
dc.identifier.scopus41761598800cs
dc.identifier.scopus9333762000cs
dc.identifier.urihttp://hdl.handle.net/11012/201392
dc.language.isoencs
dc.relation.ispartofNONLINEAR DYNAMICScs
dc.relation.urihttp://link.springer.com/article/10.1007%2Fs11071-015-2056-7#cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0924-090X/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectAutonomous systemen
dc.subjectAttracting seten
dc.subjectCircular equilibriumen
dc.subjectChaosen
dc.subjectNonlinear dynamicsen
dc.subjectVector field.en
dc.subjectAutonomous system
dc.subjectAttracting set
dc.subjectCircular equilibrium
dc.subjectChaos
dc.subjectNonlinear dynamics
dc.subjectVector field.
dc.titleNew class of chaotic systems with circular equilibriumen
dc.title.alternativeNew class of chaotic systems with circular equilibriumen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-114645en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:08:24en
sync.item.modts2025.10.14 09:55:03en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. oddělení-REL-SIXcs
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