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

Autor:	Bakri T., Verhulst F.
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	tondl neimark-sacker bifurcation parametric excitation self-excitation quasiperiodic solution Mechanics of engineering. Applied mechanics TA349-359
Zdroj:	Applied and Computational Mechanics, Vol 16, Iss 2, Pp 87-100 (2022)
Druh dokumentu:	article
ISSN:	1802-680X 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:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a717d54096384b1ead0aa9b4efe79621 Zobrazit plný text záznamu View record in DOAJ