This article is cited in 3 papers

Brief communications

A one-parameter family of quadratic maps of a plane including Morse–Smale endomorphisms

S. S. Bel'mesova^a, L. S. Efremova<sup>b

a</sup> Centre for High-Qualified Managers Training, Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Ave., Nizhni Novgorod, 603950 Russia
^b Chair of Differential Equations and Mathematical Analysis, Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Ave., Nizhni Novgorod, 603950 Russia

Abstract: In an one-parameter family of quadratic maps of a plane, we indicate an interval of parameter values such that every map with a parameter value in the indicated interval is a singular Morse–Smale endomorphism.

Keywords: quadratic map, Morse–Smale endomorphism.

UDC: 517.987

Presented by the member of Editorial Board: A. M. Bikchentaev
Received: 31.05.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:8, 70–74

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