Szczegóły publikacji
Opis bibliograficzny
On the existence of the double scroll attractor for the Chua's circuit with a smooth nonlinearity / Zbigniew GALIAS, Warwick Tucker // W: ISCAS 2018 [Dokument elektroniczny] : IEEE International Symposium on Circuits and Systems : 27–30 May 2018, Florence, Italy : proceedings. — Wersja do Windows. — Dane tekstowe. — [Piscataway] : IEEE, cop. 2018. — (IEEE International Conference on Circuits and Systems ; ISSN 2379-447X). — e-ISBN: 978-1-5386-4881-0. — S. [1–5]. — Wymagania systemowe: Adobe Reader. — Bibliogr. s. [5], Abstr.
Autorzy (2)
- AGHGalias Zbigniew
- Tucker Warwick
Dane bibliometryczne
| ID BaDAP | 119210 |
|---|---|
| Data dodania do BaDAP | 2019-01-22 |
| Tekst źródłowy | URL |
| DOI | 10.1109/ISCAS.2018.8351549 |
| Rok publikacji | 2018 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Wydawca | Institute of Electrical and Electronics Engineers (IEEE) |
| Konferencja | IEEE International Symposium on Circuits & Systems |
Abstract
In simulations of the Chua's circuit with a smooth nonlinearity for certain parameter values one observes the double scroll attractor. This attractor contains an unstable equilibrium, and typical trajectories belonging to the attractor may pass arbitrarily close to this equilibrium. In consequence, it is impossible to compute trajectories over the whole attractor using standard rigorous numerical integration procedures. This is due to the existence of trajectories which spend arbitrarily long time in a neighborhood of the equilibrium. In this work, a method to find enclosures of trajectories passing arbitrarily close to an unstable fixed point of spiral type is presented. This method is used to prove the existence of a trapping region enclosing the double scroll attractor for the Chua's circuit with a cubic nonlinearity.
