Szczegóły publikacji
Opis bibliograficzny
On rigorous integration of continuous piecewise linear systems / Zbigniew GALIAS // Communications in Nonlinear Science and Numerical Simulation ; ISSN 1007-5704 . — 2022 — vol. 107 art. no. 106109, s. 1–14. — Bibliogr. s. 14, Abstr. — Publikacja dostępna online od: 2021-11-09
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 138833 |
|---|---|
| Data dodania do BaDAP | 2022-01-24 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.cnsns.2021.106109 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Communications in Nonlinear Science & Numerical Simulation |
Abstract
In this work, rigorous methods to compute solutions of continuous piecewise linear systems are presented. A general technique, based on integrating a perturbed linear system, is described to compute enclosures of trajectories crossing planes where the vector field in not smooth. Algorithms to compute enclosures of trajectories passing arbitrarily close to unstable equilibria are proposed. The usefulness of the methods is shown by proving the existence of trapping regions enclosing three different types of chaotic attractors existing in the Chua's circuit. © 2021 The Author(s)
