Global bifurcation analysis of a class of planar systems
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2426 | |
| dc.contributor.author | Grin, Alexander | |
| dc.contributor.author | Schneider, Klaus R. | |
| dc.date.accessioned | 2017-09-28T00:59:27Z | |
| dc.date.available | 2019-06-28T08:03:01Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We consider planar autonomous systems dx/dt =P(x,y,λ), dy/dt =Q(x,y,λ) depending on a scalar parameter λ. We present conditions on the functions P and Q which imply that there is a parameter value λ0 such that for &lambda > λ0 this system has a unique limit cycle which is hyperbolic and stable. Dulac-Cherkas functions, rotated vector fields and singularly perturbed systems play an important role in the proof. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2454 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1961 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2426 | |
| dc.relation.issn | 0946-8633 | eng |
| 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 | eng |
| dc.subject.other | Global bifurcation | eng |
| dc.subject.other | limit cycle | eng |
| dc.subject.other | planar autonomous system | eng |
| dc.subject.other | Dulac-Cherkas function | eng |
| dc.subject.other | rotated vector field | eng |
| dc.subject.other | singularly perturbed system | eng |
| dc.title | Global bifurcation analysis of a class of planar systems | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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