Structural stability of planar vector fields that are invariant under the rotation group

Author(s):  V.Sh. Roitenberg, candidate of Sciences, associate Professor, Yaroslavl State Technical University, Yaroslavl, Russia, vroitenberg@mail.ru

Issue:  Volume 50, № 4

Rubric:  Mathematics

Annotation:  We consider vector fields in the unit disk that are invariant under the rotation group. The paper gives the topological classification of structurally stable vector fields, the structure of phase portraits of which does not change under small perturbations in the indicated class of vector fields. We also describe all connected components of the set of structurally stable vector fields

Keywords:  planar vector field, rotation group, invariance, symmetry, structural stability, topological classification, connected components

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