From A.Tondl’s Dutch contacts to Neimark-Sacker-bifurcation

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dc.contributor.authorBakri, Taoufik
dc.contributor.authorVerhulst, Ferdinand
dc.date.accessioned2023-01-13T07:09:12Z
dc.date.available2023-01-13T07:09:12Z
dc.date.issued2022
dc.description.abstract-translatedWe present a description of the many contacts of A. Tondl with Dutch scientists involving nonlinear dynamics models for mechanics. One of the topics is Neimark-Sacker bifurcation that leads to the presence of families of quasi-periodic solutions that are geometrically organised and visualised in tori. A new model in the spirit of A. Tondl, containing interaction of self-excited and parametrically excited oscillators is analysed to find this bifurcation and quasi-periodic solutions. The analysis using averaging in combination with numerical bifurcation tools Matcont and Auto produces a picture of rich dynamical phenomena with several surprises among which a special quasi-periodic solution produced by the averaged equation.en
dc.format14 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationApplied and Computational Mechanics. 2022, vol. 16, no. 2, p. 87-100.en
dc.identifier.doihttps://doi.org/10.24132/acm.2022.770
dc.identifier.issn1802-680X (Print)
dc.identifier.issn2336-1182 (Online)
dc.identifier.urihttp://hdl.handle.net/11025/50894
dc.language.isoenen
dc.publisherUniversity of West Bohemiaen
dc.rights© University of West Bohemiaen
dc.rights.accessopenAccessen
dc.subjectTondlcs
dc.subjectNeimark-Sackerova bifurkacecs
dc.subjectparametrické buzenícs
dc.subjectsamobuzenícs
dc.subjectkvaziperiodické řešenícs
dc.subject.translatedTondlen
dc.subject.translatedNeimark-Sacker bifurcationen
dc.subject.translatedparametric excitationen
dc.subject.translatedself-excitationen
dc.subject.translatedquasiperiodic solutionen
dc.titleFrom A.Tondl’s Dutch contacts to Neimark-Sacker-bifurcationen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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Volume 16, number 2 (2022)
Volume 16, number 2 (2022)