Versal deformations of $D_q$-invariant 2-parameter families of planar vector fields

Grzegorz Świrszcz

ArticleOriginal scientific text

Title

Versal deformations of $D_{q}$ -invariant 2-parameter families of planar vector fields

Authors ¹

Affiliations

Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Abstract

The paper deals with 2-parameter families of planar vector fields which are invariant under the group

D_{q}

for q ≥ 3. The germs at z = 0 of such families are studied and versal families are found. We also give the phase portraits of the versal families.

Keywords

ENG

versal family, bifurcation,

D_{q}

-invariant

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Title

Versal deformations of Dq-invariant 2-parameter families of planar vector fields

Affiliations

Abstract

Keywords

Bibliography

Versal deformations of $D_{q}$ -invariant 2-parameter families of planar vector fields