Valeriia Starichkova
Paris-Sud 11
Publications:
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Starichkova V. V.
Global Bifurcations in Generic One-parameter Families on $\mathbb{S}^2$
2018, vol. 23, no. 6, pp. 767-784
Abstract
In this paper we prove that generic one-parameter families of vector fields on $\mathbb{S}^2$ in the neighborhood of the fields of classes AH, SN,HC, SC (Andronov–Hopf, saddle-node, homoclinic curve, saddle connection) are structurally stable. We provide a classification of bifurcations in these families.
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