From A.Tondl's Dutch contacts to Neimark-Sacker-bifurcation
| Autor: | Bakri, Taoufik, Verhulst, Ferdinand |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Fluid Flow and Transfer Processes
self-excitation Neimark-Sackerova bifurkace Computational Mechanics Biophysics parametrické buzení samobuzení Tondl parametric excitation quasiperiodic solution Computational Mathematics Neimark-Sacker bifurcation kvaziperiodické řešení Civil and Structural Engineering |
| Zdroj: | Applied and Computational Mechanics. 16 |
| ISSN: | 2336-1182 |
| DOI: | 10.24132/acm.2022.770 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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