Synchronisation and chaos in a parametrically and self-excited system with two degrees of freedom
Artykuł w czasopiśmie
| Status: | |
| Autorzy: | Warmiński Jerzy, Litak Grzegorz, Szabelski Kazimierz |
| Rok wydania: | 2000 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 2 |
| Wolumen/Tom: | 22 |
| Strony: | 135 - 153 |
| Impact Factor: | 0,672 |
| Web of Science® Times Cited: | 18 |
| Scopus® Cytowania: | 18 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| Vibration analysis of a non-linear parametrically andself-excited system of two degrees of freedom was carried out. The modelcontains two van der Pol oscillators coupled by a linear spring with a aperiodically changing stiffness of the Mathieu type. By means of amultiple-scales method, the existence and stability of periodicsolutions close to the main parametric resonances have beeninvestigated. Bifurcations of the system and regions of chaoticsolutions have been found. The possibility of the appearance ofhyperchaos has also been discussed and an example of such solution hasbeen shown. |
