Revealing fractionality in the Rössler system by recurrence quantification analysis
Artykuł w czasopiśmie
MNiSW
70
Lista 2023
| Status: | |
| Autorzy: | Rysak Andrzej, Sedlmayr Martyna, Gregorczyk Magdalena |
| Dyscypliny: | |
| Aby zobaczyć szczegóły należy się zalogować. | |
| Rok wydania: | 2023 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 1 |
| Wolumen/Tom: | 232 |
| Strony: | 83 - 98 |
| Impact Factor: | 2,6 |
| Web of Science® Times Cited: | 4 |
| Scopus® Cytowania: | 5 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Finansowanie: | Ministry of Science and Higher Education, Poland. |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | TAK |
| Licencja: | |
| Sposób udostępnienia: | Witryna wydawcy |
| Wersja tekstu: | Ostateczna wersja opublikowana |
| Czas opublikowania: | W momencie opublikowania |
| Data opublikowania w OA: | 22 grudnia 2022 |
| Abstrakty: | angielski |
| This study discusses the results of a Recurrence quantification analysis (RQA) of the R ̈ossler system with a fractional order (q1) of the derivative in the first equation. The fractional order q1 changes slightly in the range q1 ∈ 〈0.9, 1.0〉. Even with such relatively small changes in the q1 derivative, significant changes in the dynamics of the system are observed between the bifurcation diagrams determined for the bifurcation parameter a. Nevertheless, as q1 decreases one can notice the preservation of some structures of the bifurcation diagram, in particular the main periodic windows of the integer-order R ̈ossler system. The RQA shows clear differences between various regular windows of the integer system and only slight changes in these windows are caused by an increase in the system’s fractionality. Nonetheless, by selecting appropriate recurrence variables it is possible to expose the changes occurring in the regular windows under the influence of the fractionality of the system. This approach allows for the detection of the fractional character of the system through a recurrence analysis of the time series taken from periodic regions. |
