Szczegóły publikacji
Opis bibliograficzny
Continuation-based method to find periodic windows in bifurcation diagrams with applications to the Chua’s circuit with a cubic nonlinearity / Zbigniew GALIAS // IEEE Transactions on Circuits and Systems. I, Regular Papers ; ISSN 1549-8328. — 2021 — vol. 68 iss. 9, s. 3784–3793. — Bibliogr. s. 3793, Abstr. — Publikacja dostępna online od: 2021-07-22
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 135917 |
|---|---|
| Data dodania do BaDAP | 2021-09-06 |
| Tekst źródłowy | URL |
| DOI | 10.1109/TCSI.2021.3089420 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | IEEE Transactions on Circuits and Systems, I, Regular Papers |
Abstract
The existence of periodic windows in the parameter space is a common feature of nonlinear systems capable to produce chaotic behavior. Detection of positions of periodic windows is important both from the theoretical and practical points of view. In this work, a systematic method to detect periodic windows in bifurcation diagrams is proposed. The search method is a combination of the trajectory monitoring approach to find unstable periodic orbits and the continuation method to calculate positions of periodic windows. The method is applied to the Chua’s circuit with a smooth nonlinearity. It is shown that the proposed method outperforms standard methods to find periodic windows in bifurcation diagrams.
