Szczegóły publikacji
Opis bibliograficzny
Numerical study of multiple attractors in the parallel inductor-capacitor-memristor circuit / Zbigniew GALIAS // International Journal of Bifurcation and Chaos ; ISSN 0218-1274. — 2017 — vol. 27 no. 11 art. no. 1730036, s. 1730036-1–1730036-16. — Bibliogr. s. 1730036-16
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 110813 |
|---|---|
| Data dodania do BaDAP | 2018-01-06 |
| DOI | 10.1142/S0218127417300361 |
| Rok publikacji | 2017 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | International Journal of Bifurcation and Chaos |
Abstract
Dynamical phenomena in the parallel inductor–capacitor–memristor circuit are studied numerically. A systematic search for coexisting attractors is carried out. The existence of multiple attractors is observed and bifurcation diagrams are constructed. Basins of attraction are computed. The coexistence of attractors is proved using interval analysis tools. The existence of periodic attractors is confirmed by applying the interval Newton method to prove the existence of stable periodic orbits of an associated return map. For numerically observed chaotic attractors the existence of attractors is proved by constructing trapping regions enclosing chaotic trajectories of the return map. The existence of topological chaos is proved using the method of covering relations.
