Structural Stability and Bifurcations of PC-HC and PC-SN Families

Student: Alexey Dorovskiy

Educational Programme: Mathematics and Mathematical Physics (Master)

Final Grade: 10

Year of Graduation: 2024

In this paper we investigate bifurcations in families of vector fields on the two-sphere with two degeneracies: parabolic limit cycle and homoclinic curve of saddle-node. We prove structural stability of those families. Also we provide classification of large bifurcation supports that can appear in those families.

Full text (added June 2, 2024)

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