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2013
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# Valeriia Starichkova

Paris-Sud 11

## Publications:

 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. Keywords: bifurcations, equivalence, structural stability Citation: Starichkova V. V.,  Global Bifurcations in Generic One-parameter Families on $\mathbb{S}^2$, Regular and Chaotic Dynamics, 2018, vol. 23, no. 6, pp. 767-784 DOI:10.1134/S1560354718060102