Show simple item record  

dc.contributor.authorBroughan, Kevin A.
dc.date.accessioned2009-02-17T02:30:33Z
dc.date.available2009-02-17T02:30:33Z
dc.date.issued2003
dc.identifier.citationBroughan, K. A. (2003). Holomorphic flows on simply connected regions have no limit cycles. Meccanica, 38(6), 699-709.en
dc.identifier.urihttps://hdl.handle.net/10289/2022
dc.description.abstractThe dynamical system or flow = f(z), where f is holomorphic on C, is considered. The behavior of the flow at critical points coincides with the behavior of the linearization when the critical points are non-degenerate: there is no center-focus dichotomy. Periodic orbits about a center have the same period and form an open subset. The flow has no limit cycles in simply connected regions. The advance mapping is holomorphic where the flow is complete. The structure of the separatrices bounding the orbits surrounding a center is determined. Some examples are given including the following: if a quartic polynomial system has four distinct centers, then they are collinear.en
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherSpringer Netherlandsen
dc.relation.urihttp://www.springerlink.com/content/t32x2g6686475227/?p=d2d0aed399b4459fb3a6470fc4cee142&pi=9en
dc.rightsThis is an author’s final draft copy of an article published in the journal: Meccanica. The original publication is available at www.springerlink.com.en
dc.subjectmathematicsen
dc.subjectdynamical systemen
dc.subjectphase portraiten
dc.subjectcritical pointen
dc.subjecttheoretical dynamicsen
dc.titleHolomorphic Flows on Simply Connected Regions Have No Limit Cyclesen
dc.typeJournal Articleen
dc.identifier.doi10.1023/A:1025821123532en
dc.relation.isPartOfMeccanicaen_NZ
pubs.begin-page699en_NZ
pubs.elements-id28836
pubs.end-page709en_NZ
pubs.issue6en_NZ
pubs.volume38en_NZ


Files in this item

This item appears in the following Collection(s)

Show simple item record