Email this article Global Bifurcations in Generic One-parameter Families on \(\mathbb{S}^2\)
- Authors: Starichkova V.1
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Affiliations:
- Université Paris-Sud 11, Département de Mathématiques, Faculté des Sciences d’Orsay
- Issue: Vol 23, No 6 (2018)
- Pages: 767-784
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/219143
- DOI: https://doi.org/10.1134/S1560354718060102
- ID: 219143
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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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About the authors
Valeriia Starichkova
Université Paris-Sud 11, Département de Mathématiques, Faculté des Sciences d’Orsay
Author for correspondence.
Email: valerystar@inbox.ru
France, bâtiment 307, Orsay Cedex, F-91405
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