Detection of the chaotic behaviour of a bouncing ball by the 0–1 test
Artykuł w czasopiśmie
Status: | |
Autorzy: | Litak Grzegorz, Syta Arkadiusz, Budhraja Mridula, Saha L. M. |
Rok wydania: | 2009 |
Wersja dokumentu: | Drukowana | Elektroniczna |
Język: | angielski |
Numer czasopisma: | 3 |
Wolumen/Tom: | 42 |
Strony: | 1511 - 1517 |
Impact Factor: | 3,315 |
Web of Science® Times Cited: | 25 |
Scopus® Cytowania: | 26 |
Bazy: | Web of Science | Scopus |
Efekt badań statutowych | NIE |
Materiał konferencyjny: | NIE |
Publikacja OA: | NIE |
Abstrakty: | angielski |
We examine the two-dimensional map of a bouncing ball system. To distinguish between periodic and chaotic solutions we propose the 0–1 test. This method is based on the spectral properties of chaotic system quantifying the system response: 0 for the regular and 1 for the chaotic solution. The obtained results have been confirmed by the calculation of the maximal Lyapunov exponent defined by the product of Jacobian matrices calculated along corresponding trajectories. |