New class of chaotic systems with circular equilibrium

dc.contributor.authorGötthans, Tomášcs
dc.contributor.authorPetržela, Jiřícs
dc.coverage.issue04cs
dc.coverage.volume81cs
dc.date.accessioned2021-09-02T10:54:02Z
dc.date.available2021-09-02T10:54:02Z
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.abstractČlánek přináší nový matematický model nelineárního autonomního systému s cirkulárním ekvilibriem. Celý systém je matematicky analyzován, poté je prezentováno obvodové zapojení jako důkaz strukturální stability včetně měření.cs
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.other114645cs
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.subjectAutonomní systém
dc.subjectoblast přitažlivosti
dc.subjectkruhová ekvilibria
dc.subjectchaos
dc.subjectnelineární dynamika
dc.subjectvektorové pole.
dc.titleNew class of chaotic systems with circular equilibriumen
dc.title.alternativeNová třída chaotických systémů s kruhovým ekvilibriemcs
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-114645en
sync.item.dbtypeVAVen
sync.item.insts2021.09.02 12:54:02en
sync.item.modts2021.09.02 12:14:43en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. oddělení-REL-SIXcs
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