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RESEARCH PRODUCT
Hopf bifurcation at infinity for planar vector fields
Begoña AlarcónCarlos GutierrezVíctor Guíñezsubject
Hopf bifurcationDiscrete mathematicsApplied Mathematicsmedia_common.quotation_subjectTEORIA ERGÓDICABifurcation diagramInfinitysymbols.namesakePitchfork bifurcationBifurcation theoryAttractorsymbolsDiscrete Mathematics and CombinatoricsFundamental vector fieldVector fieldAnalysisMathematical physicsMathematicsmedia_commondescription
We study, from a new point of view, families of planar vector fields without singularities $ \{ X_{\mu}$  :  $-\varepsilon < \mu < \varepsilon\} $ defined on the complement of an open ball centered at the origin such that, at $\mu=0$, infinity changes from repellor to attractor, or vice versa. We also study a sort of local stability of some $C^1$ planar vector fields around infinity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-01-01 |