On the number of limit cycles for some families of planar differential equations
Pérez-González, Set
Torregrosa, Joan, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Universitat Autònoma de Barcelona. Departament de Matemàtiques

Imprint:	[Barcelona] : Universitat Autònoma de Barcelona, 2012
Description:	1 recurs electrònic (117 p.)
Abstract:	The results included in this chapter involve an ad hoc compactification designed withtwo objectives. First, to unify the different behaviors of the functions in (4) satisfyingour hypothesis. And second, to make possible the comprehension of the global phaseportrait. The results of this chapter have also been done in collaboration with Pedro J. Torres. The aim of the third chapter is to obtain a global knowledge of the homoclinicconnection curve in the first quadrant of parameter space, where the limit cycles canappear, in the system associated to this Bogdanov-Takens normal form where the parameters,nandb, are real numbers. When the parameters vanish, theorigin shows a local structure of cusp point, a kind of degenerate singular point. But ifwe unfold this vector field, they appear several bifurcation curves, a Hopf bifurcation,a saddle-node bifurcation and a homoclinic connection curves.
Note:	Tesi doctoral - Universitat Autònoma de Barcelona. Departament de Matemàtiques, 2012
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Language:	Anglès
Document:	Tesi doctoral
Subject:	Sistemes dinàmics diferenciables ; Cicles límits ; Riemann-Hilbert, Problemes de
ISBN:	9788449030765

Adreça alternativa: https://hdl.handle.net/10803/96274
Adreça alternativa: https://www.educacion.gob.es/teseo/mostrarRef.do?ref=992322
Adreça alternativa: https://hdl.handle.net/10803/96274#page=1

117 p, 1.3 MB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Research literature > Doctoral theses