Dynamical Tangles in Third-Order Oscillator with Single Jump Function

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dc.contributor.authorGötthans, Tomášcs
dc.contributor.authorPetržela, Jiřícs
dc.contributor.authorGuzan, Milancs
dc.coverage.issue4cs
dc.coverage.volume2014cs
dc.date.issued2014-09-18cs
dc.description.abstractThis contribution brings a deep and detailed study of the dynamical behavior associated with nonlinear oscillator described by a single third-order differential equation with scalar jump nonlinearity. The relative primitive geometry of the vector field allows making an exhaustive numerical analysis of its possible solutions, visualizations of the invariant manifolds and basins of attraction as well as proving the existence of chaotic motion by using the concept of both Shilnikov theorems. The aim of this paper is also to complete, carry out and link the previous works on simple Newtonian dynamics and answer the question how individual types of the phenomenon evolve with time via understandable notes.en
dc.description.abstractTento příspěvek přináší podrobnou studii dynamického chování spojené s nelineárním oscilátorem popsaným systémem třetího řádu se skokovou skalární nelinearitou.cs
dc.formattextcs
dc.format.extent1-15cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationThe Scientific World Journal. 2014, vol. 2014, issue 4, p. 1-15.en
dc.identifier.doi10.1155/2014/239407cs
dc.identifier.issn1537-744Xcs
dc.identifier.orcid0000-0002-0386-1813cs
dc.identifier.orcid0000-0001-5286-9574cs
dc.identifier.other109600cs
dc.identifier.researcheridDZG-2188-2022cs
dc.identifier.scopus41761598800cs
dc.identifier.scopus9333762000cs
dc.identifier.urihttp://hdl.handle.net/11012/36014
dc.language.isoencs
dc.publisherHindawics
dc.relation.ispartofThe Scientific World Journalcs
dc.relation.urihttp://dx.doi.org/10.1155/2014/239407cs
dc.rightsCreative Commons Attribution 3.0 Unportedcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1537-744X/cs
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/cs
dc.subjectbasins of attractionen
dc.subjectdynamical systemen
dc.subjecteigenspacesen
dc.subjectinvariant manifoldsen
dc.subjectstrategic orbitsen
dc.titleDynamical Tangles in Third-Order Oscillator with Single Jump Functionen
dc.title.alternativeDynamické chatické trajektorie v systému třetího řádu se skokovou funkcícs
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-109600en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:41:54en
sync.item.modts2025.01.17 16:44:58en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav radioelektronikycs
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