Per citar aquest document: http://ddd.uab.cat/record/145330
Scopus: 1 cites, Web of Science: 0 cites,
Cyclicity of a fake saddle inside the quadratic vector fields
de Maesschalck, Peter (Hasselt University (Belgium))
Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Data: 2015
Resum: This paper concerns the study of small-amplitude limit cycles that appear in the phase portrait near an unfolded fake saddle singularity. This degenerate singularity is also known as a impassable grain. The normal form of the unperturbed vector field is like a degenerate flow box. Near the singularity,the phase portrait consists of parallel fibers, all of which but one have no singular points, and at the singular fiber, there is one node. We study different techniques in order to show that the cyclicity is bigger or equal than two when the normal form is quadratic.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; preprint
Matèria: Bifurcations ; Cyclicity ; Fake saddle ; Impassable grain ; Limit cycles
Publicat a: Journal of Differential Equations, Vol. 258 Núm. 2 (2015) , p. 588-620, ISSN 0022-0396

DOI: 10.1016/j.jde.2014.09.024


34 p, 509.4 KB

El registre apareix a les col·leccions:
Documents de recerca > Documents dels grups de recerca de la UAB > Centres i grups de recerca (producció científica) > Ciències > GSD (Grup de sistemes dinàmics)
Articles > Articles de recerca
Articles > Articles publicats

 Registre creat el 2016-01-12, darrera modificació el 2017-04-28



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