From A. Tondl’s Dutch contacts to Neimark-Sacker-bifurcation
article
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.
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.
TNO Identifier
977344
DOI
https://doi.org/10.24132/acm.2022.770
Source
Applied and Computational Mechanics, 16
Publisher
University of West Bohemia
Place of publication
Pilsen, Czech Republic
Files
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