From A.Tondl’s Dutch contacts to Neimark-Sacker-bifurcation
We 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... Mehr ...
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Dokumenttyp: | článek |
Erscheinungsdatum: | 2022 |
Verlag/Hrsg.: |
University of West Bohemia
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Schlagwörter: | Tondl / Neimark-Sackerova bifurkace / parametrické buzení / samobuzení / kvaziperiodické řešení / Neimark-Sacker bifurcation / parametric excitation / self-excitation / quasiperiodic solution |
Sprache: | Englisch |
Permalink: | https://search.fid-benelux.de/Record/base-27071382 |
Datenquelle: | BASE; Originalkatalog |
Powered By: | BASE |
Link(s) : | http://hdl.handle.net/11025/50894 |
We 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.