Global algebraic Poincaré--Bendixson annulus for van der Pol systems
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2864 | |
| dc.contributor.author | Grin, Alexander | |
| dc.contributor.author | Schneider, Klaus R. | |
| dc.date.accessioned | 2022-07-05T14:28:47Z | |
| dc.date.available | 2022-07-05T14:28:47Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | By means of planar polynomial systems topologically equivalent to the van der Pol system we demonstrate an approach to construct algebraic transversal ovals forming a parameter depending Poincaré-Bendixson annulus which contains a unique limit cycle for the full parameter domain. The inner boundary consists of the zero-level set of a special Dulac-Cherkas function which implies the uniqueness of the limit cycle. For the construction of the outer boundary we present a corresponding procedure | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9582 | |
| dc.identifier.uri | https://doi.org/10.34657/8620 | |
| dc.language.iso | eng | |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2864 | |
| dc.relation.issn | 2198-5855 | |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | |
| dc.subject.other | Limit cycle | eng |
| dc.subject.other | equivalent van der Pol systems | eng |
| dc.subject.other | Dulac--Cherkas function | eng |
| dc.subject.other | Poincaré--Bendixson annulus | eng |
| dc.subject.other | singularly perturbed system | eng |
| dc.title | Global algebraic Poincaré--Bendixson annulus for van der Pol systems | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| dcterms.extent | 11 S. | |
| tib.accessRights | openAccess | |
| wgl.contributor | WIAS | |
| wgl.subject | Mathematik | |
| wgl.type | Report / Forschungsbericht / Arbeitspapier |
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