New chaotic dynamical system with a conic-shaped equilibrium located on the plane structure

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dc.contributor.authorPetržela, Jiřícs
dc.contributor.authorGötthans, Tomášcs
dc.coverage.issue10cs
dc.coverage.volume7cs
dc.date.issued2017-09-22cs
dc.description.abstractThis paper presents a new autonomous deterministic dynamical system with equilibrium degenerated into a plane-oriented hyperbolic geometrical structure. It is demonstrated via numerical analysis and laboratory experiments that the discovered system has both a structurally stable strange attractor and experimentally measurable chaotic behavior. It is shown that the evolution of complex dynamics can be associated with a single parameter of a mathematical model and, due to one-to-one correspondence, to a single circuit parameter. Two-dimensional high resolution plots of the largest Lyapunov exponent and basins of attraction expressed in terms of final state energy are calculated and put into the context of the discovered third-order mathematical model and real chaotic oscillator. Both voltage- and current-mode analog chaotic oscillators are presented and verified by visualization of the typical chaotic attractor in a different fashion.en
dc.description.abstractThis paper presents a new autonomous deterministic dynamical system with equilibrium degenerated into a plane-oriented hyperbolic geometrical structure. It is demonstrated via numerical analysis and laboratory experiments that the discovered system has both a structurally stable strange attractor and experimentally measurable chaotic behavior. It is shown that the evolution of complex dynamics can be associated with a single parameter of a mathematical model and, due to one-to-one correspondence, to a single circuit parameter. Two-dimensional high resolution plots of the largest Lyapunov exponent and basins of attraction expressed in terms of final state energy are calculated and put into the context of the discovered third-order mathematical model and real chaotic oscillator. Both voltage- and current-mode analog chaotic oscillators are presented and verified by visualization of the typical chaotic attractor in a different fashion.en
dc.formattextcs
dc.format.extent976-988cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationApplied Sciences-Basel. 2017, vol. 7, issue 10, p. 976-988.en
dc.identifier.doi10.3390/app7100976cs
dc.identifier.issn2076-3417cs
dc.identifier.orcid0000-0001-5286-9574cs
dc.identifier.orcid0000-0002-0386-1813cs
dc.identifier.other139701cs
dc.identifier.researcheridDZG-2188-2022cs
dc.identifier.scopus9333762000cs
dc.identifier.scopus41761598800cs
dc.identifier.urihttp://hdl.handle.net/11012/137220
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofApplied Sciences-Baselcs
dc.relation.urihttps://www.mdpi.com/2076-3417/7/10/976cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2076-3417/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectanalog oscillatoren
dc.subjectautonomous deterministic systemen
dc.subjectcircuit synthesisen
dc.subjectchaosen
dc.subjectnonlinear dynamicsen
dc.subjectstrange attractoren
dc.subjectanalog oscillator
dc.subjectautonomous deterministic system
dc.subjectcircuit synthesis
dc.subjectchaos
dc.subjectnonlinear dynamics
dc.subjectstrange attractor
dc.titleNew chaotic dynamical system with a conic-shaped equilibrium located on the plane structureen
dc.title.alternativeNew chaotic dynamical system with a conic-shaped equilibrium located on the plane structureen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-139701en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:11:11en
sync.item.modts2025.10.14 09:42:28en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav radioelektronikycs
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