Identification of regular and chaotic isothermal trajectories of a shape memory oscillator using the 0–1 test
Artykuł w czasopiśmie
MNiSW
25
Lista A
| Status: | |
| Autorzy: | Bernardini Davide, Rega Giuseppe, Litak Grzegorz, Syta Arkadiusz |
| Rok wydania: | 2013 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 1 |
| Wolumen/Tom: | 227 |
| Strony: | 17 - 22 |
| Impact Factor: | 0,415 |
| Web of Science® Times Cited: | 28 |
| Scopus® Cytowania: | 28 |
| Bazy: | Web of Science | Scopus | Web of Science | SCOPUS | MathSciNet |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| Shape memory oscillators are thermomechanical hysteretic systems that, in a wide range of model parameters, can exhibit complex non-periodic non-linear dynamic responses under the excitation of a periodic force. In this study, the statistical 0–1 test based on the asymptotic properties of a Brownian motion chain is applied to periodic and non-periodic isothermal trajectories to examine the type of motion. The analysis is based on the computation of the control parameter K that approaches asymptotically 0 or 1 for regular and chaotic motions, respectively. The presented approach is independent of the integration procedure, being based on the characteristic sampling distance between the points of the analysed time series. The numerical results show that the test is able to unambiguously distinguish periodic from chaotic trajectories. |
