This article is cited 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

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.

UDC: 517.987

Received: 17.10.2018
Revised: 17.10.2018
Accepted: 19.06.2019

DOI: 10.26907/0021-3446-2019-12-16-24

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:12, 13–20

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