Notice: Undefined index: linkPowrot in C:\wwwroot\wwwroot\publikacje\publikacje.php on line 1275
[32614] Artykuł: An analytical and numerical study of chaotic dynamics in a simple bouncing ball modelCzasopismo: Acta Mechanica Sinica Tom: 27, Zeszyt: 1, Strony: 130-134ISSN: 0567-7718 Wydawca: SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY Opublikowano: 2011 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 25 Klasyfikacja Web of Science: Article; Proceedings Paper Pełny tekst DOI Web of Science YADDA/CEON Keywords: Nonsmooth dynamics  Bouncing ball  Exact solutions  |
Dynamics of a ball moving in gravitational field and colliding with a moving table is studied in this paper. The motion of the limiter is assumed as periodic with piecewise constant velocity-it is assumed that the table moves up with a constant velocity and then moves down with another constant velocity. The Poincaré map, describing evolution from an impact to the next impact, is derived and scenarios of transition to chaotic dynamics are investigated analytically and numerically.