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VIDEO LIBRARY |
International conference «Real and Complex Dynamical Systems», dedicated to the to the 75th anniversary of Yu. S. Il'yashenko
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Bifurcations of families of vector felds on the two-dimensional sphere Nikita Solodovnikov Higher School of Economics |
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Abstract: There exists pair of weakly topologically equivalent vector fields on the two-sphere with a parabolic cycle such that their generic one-parameter unfoldings are not equivalent ([1]). Classification of generic one-parameter unfoldings of vector fields with parabolic cycles is given. Any pair of weakly topologically equivalent degenerate vector fields of codimension 1 without parabolic cycle can have only equivalent oneparameter families as unfoldings. An overview of bifurcations of generic one-parameter families and proof of the result stated above is provided. The author is supported by RFBR project 16-01-00748-a Language: English References
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