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Tame Bifurcations in the Plane

Student: Starichkova Valeriia

Supervisor: Yuly Ilyashenko

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2017

In this paper we prove that generic one-parameter families of vector fields on the 2-dimensional sphere in the neighbourhood of the fields of classes AH, SN, SC and HC are structurally stable. We provide the classification of bifurcations in these families.

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