Search for optimal parameters in a recurrence analysis of the Duffing system with varying damping
Artykuł w czasopiśmie
MNiSW
100
Lista 2021
| Status: | |
| Autorzy: | Rysak Andrzej, Gregorczyk Magdalena, Zaprawa Paweł, Trąbka-Więcław Katarzyna |
| Dyscypliny: | |
| Aby zobaczyć szczegóły należy się zalogować. | |
| Rok wydania: | 2020 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Wolumen/Tom: | 84 |
| Numer artykułu: | 105192 |
| Strony: | 1 - 13 |
| Web of Science® Times Cited: | 5 |
| Scopus® Cytowania: | 5 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| Starting from the 1990s, recurrence analysis is more and more widely used in the study of dynamic systems. Although this method provides a great deal of information, its results clearly depend on key parameters, which significantly limits and hinders its application. In this work, we examine this problem by analyzing the Duffing system in which the volatility of dynamics is caused by a linear change in the damping factor value. The study shows how the classical recurrence measures depend on key parameters such as the density of vector time series and the threshold parameter. Comparing the recurrence analysis results with bifurcation diagrams and Lyapunov exponents, we are looking for a threshold parameter value for which the recurrence variables best reflect changes in the Duffing system dynamics. |
