| Autor: |
Bakri, T., Verhulst, F. |
| Předmět: |
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| Zdroj: |
Applied & Computational Mechanics; Dec2022, Vol. 16 Issue 2, p87-100, 14p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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