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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2013 Volume 93, Issue 6, Pages 902–919 (Mi mzm10244)

This article is cited in 3 papers

Realization of Cascades on Surfaces with Finitely Many Moduli of Topological Conjugacy

T. M. Mitryakova, O. V. Pochinka

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: A method for constructing cascades on surfaces is developed, which makes it possible to model structurally unstable discrete dynamical systems with finitely many orbits of heteroclinic tangency and preset moduli of topological conjugacy.

Keywords: structurally unstable dynamical system, cascade, orbit of heteroclinic tangency, modulus of topological conjugacy, scheme of a diffeomorphism.

UDC: 517.938

Received: 20.04.2012
Revised: 31.05.2012

DOI: 10.4213/mzm10244


 English version:
Mathematical Notes, 2013, 93:6, 890–905

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© Steklov Math. Inst. of RAS, 2024