Construction of generalized pendulum equations with prescribed maximum number of limit cycles of the second kind
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2272 | |
dc.contributor.author | Schneider, Klaus R. | |
dc.contributor.author | Grin, Alexander | |
dc.date.accessioned | 2016-12-13T22:46:42Z | |
dc.date.available | 2019-06-28T08:07:51Z | |
dc.date.issued | 2016 | |
dc.description.abstract | Consider a class of planar autonomous differential systems with cylindric phase space which represent generalized pendulum equations. We describe a method to construct such systems with prescribed maximum number of limit cycles which are not contractible to a point (limit cycles of the second kind). The underlying idea consists in employing Dulac-Cherkas functions. We also show how this approach can be used to control the bifurcation of multiple limit cycles. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2141 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2535 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
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 | Generalized pendulum equation | eng |
dc.subject.other | limit cycles of the second kind | eng |
dc.subject.other | limit cycle of multiplicity three | eng |
dc.subject.other | bifurcation behavior | eng |
dc.subject.other | Dulac-Cherkas function | eng |
dc.title | Construction of generalized pendulum equations with prescribed maximum number of limit cycles of the second kind | 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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