Valeriia Starichkova

Paris-Sud 11


Starichkova V. V.
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

Back to the list