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Regular and Chaotic Dynamics, 2018, Volume 23, Issue 6, Pages 767–784
DOI: https://doi.org/10.1134/S1560354718060102 (Mi rcd365) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Global Bifurcations in Generic One-parameter Families on $\mathbb{S}^2$

Valeriia Starichkova

Université Paris-Sud 11, Département de Mathématiques, Faculté des Sciences d’Orsay, bâtiment 307, F-91405 Orsay Cedex, France
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DOI: https://doi.org/10.1134/S1560354718060102
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.
Funding agency Grant number
National Research University Higher School of Economics 18-05-0019
The article was prepared within the framework of the Academic Fund Program at the National Research University Higher School of Economics (HSE) in (2018–2019) (grant No. 18-05-0019) and supported within the framework of a subsidy granted to the HSE by the Government of the Russian Federation for the implementation of the Global Competitiveness Program.
Received: 28.08.2018
Accepted: 23.10.2018
Bibliographic databases:
Document Type: Article
MSC: 34C23, 37G99, 37E35
Language: English
Citation: Valeriia Starichkova, “Global Bifurcations in Generic One-parameter Families on $\mathbb{S}^2$”, Regul. Chaotic Dyn., 23:6 (2018), 767–784
Citation in format AMSBIB
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\by Valeriia Starichkova
\paper Global Bifurcations in Generic One-parameter Families on $\mathbb{S}^2$
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 6
\pages 767--784
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    • This publication is cited in the following 7 articles:
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