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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2017 Volume 102, Issue 1, Pages 109–124 (Mi mzm10740)

This article is cited in 1 paper

On a Class of Totally Topologically Transitive Skew Products Defined on Cells in $\mathbb R^n$, ${n\ge 2}$

A. S. Fil'chenkov

Lobachevski State University of Nizhni Novgorod

Abstract: We obtain sufficient conditions for total topological transitivity (transitivity of all iterations) for a class of $C^3$ skew products defined on cells in $\mathbb R^n$, $n\ge 2$.

Keywords: discrete dynamical system, skew product, topological transitivity.

UDC: 517.987.5

Received: 26.03.2015
Revised: 29.12.2016

DOI: 10.4213/mzm10740


 English version:
Mathematical Notes, 2017, 102:1, 92–104

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© Steklov Math. Inst. of RAS, 2026