On a codimension 3 bifurcation of plane vector fields with symmetry
Milan Medveď (1990)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Versal deformations of -invariant 2-parameter families of planar vector fields”
On a codimension 3 bifurcation of plane vector fields with symmetry
Bifurcation of the equivariant minimal interfaces in a hydromechanics problem.
Borisovich, A.Y., Marzantowicz, W. (1996)
Abstract and Applied Analysis
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The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3
Milan Medveď (1985)
Czechoslovak Mathematical Journal
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Phase portraits of planar vector fields: Computer proofs.
Guckenheimer, John (1995)
Experimental Mathematics
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Simple examples of one-parameter planar bifurcations.
Armengol Gasull, Rafel Prohens (2000)
Extracta Mathematicae
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In this paper we give simple and low degree examples of one-parameter polynomial families of planar differential equations which present generic, codimension one, isolated, compact bifurcations. In contrast with some examples which appear in the usual text books each bifurcation occurs when the bifurcation parameter is zero. We study the total number of limit cycles that the examples present and we also make their phase portraits on the Poincaré sphere.
Hopf bifurcation for the equation .
Acosta, Antonio, Lizana, Marcos (2005)
Divulgaciones Matemáticas
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Doubling bifurcation of a closed invariant curve in 3D maps
Laura Gardini, Iryna Sushko (2012)
ESAIM: Proceedings
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The object of the present paper is to give a qualitative description of the bifurcation mechanisms associated with a closed invariant curve in three-dimensional maps, leading to its doubling, not related to a standard doubling of tori. We propose an explanation on how a closed invariant attracting curve, born via Neimark-Sacker bifurcation, can be transformed into a repelling one giving birth to a new attracting closed invariant curve ...