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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 12, Pages 16–24
DOI: https://doi.org/10.26907/0021-3446-2019-12-16-24 (Mi ivm9523) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bifurcation of the birth of a closed invariant curve in a one-parameter family of quadratic mappings of the plane

S. S. Bel'mesova

Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Ave., Nizhni Novgorod, 603950 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-12-16-24
Abstract: We give an example of a one-parameter family of quadratic endomorphisms of the plane, in which a closed invariant curve is born from an elliptic fixed point.
Keywords: invariant curve, fixed point, endomorphism of a plane.
Received: 17.10.2018
Revised: 17.10.2018
Accepted: 19.06.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 12, Pages 13–20
DOI: https://doi.org/10.3103/S1066369X19120028
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: S. S. Bel'mesova, “Bifurcation of the birth of a closed invariant curve in a one-parameter family of quadratic mappings of the plane”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 12, 16–24; Russian Math. (Iz. VUZ), 63:12 (2019), 13–20
Citation in format AMSBIB
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\paper Bifurcation of the birth of a closed invariant curve in a one-parameter family of quadratic mappings of the plane
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 12
\pages 16--24
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\jour Russian Math. (Iz. VUZ)
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\vol 63
\issue 12
\pages 13--20
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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