E. V. Zhuzhoma, N. V. Isaenkova, “Classification of One-Dimensional Expanding Attractors”, Mat. Zametki, 86:3 (2009), 360–370; Math. Notes, 86:3 (2009), 333

Loading [MathJax]/jax/output/SVG/config.js

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2009, Volume 86, Issue 3, Pages 360–370
DOI: https://doi.org/10.4213/mzm8504 (Mi mzm8504)

This article is cited in 11 scientific papers (total in 11 papers)

Classification of One-Dimensional Expanding Attractors

E. V. Zhuzhoma, N. V. Isaenkova

Nizhny Novgorod State Pedagogical University

Full-text PDF (550 kB) Citations (11)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm8504

Abstract: It is shown that, in any dimension $d\ge 3$, there exist diffeomorphisms of compact $d$-manifolds with one-dimensional expanding attractors which are conjugate on these attractors but not conjugate on their neighborhoods.

Keywords: diffeomorphism of compact manifolds, expanding attractor, intrinsic conjugacy, neighborhood conjugacy, Antoine's necklace.

Received: 18.02.2009

English version:
Mathematical Notes, 2009, Volume 86, Issue 3, Pages 333–341
DOI: https://doi.org/10.1134/S0001434609090053

Bibliographic databases:

UDC: 517.938

Language: Russian

Citation: E. V. Zhuzhoma, N. V. Isaenkova, “Classification of One-Dimensional Expanding Attractors”, Mat. Zametki, 86:3 (2009), 360–370; Math. Notes, 86:3 (2009), 333–341

Citation in format AMSBIB

\Bibitem{ZhuIsa09}

\by E.~V.~Zhuzhoma, N.~V.~Isaenkova

\paper Classification of One-Dimensional Expanding Attractors

\jour Mat. Zametki

\yr 2009

\vol 86

\issue 3

\pages 360--370

\mathnet{http://mi.mathnet.ru/mzm8504}

\crossref{https://doi.org/10.4213/mzm8504}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2591374}

\zmath{https://zbmath.org/?q=an:05656333}

\elib{https://elibrary.ru/item.asp?id=15307254}

\transl

\jour Math. Notes

\yr 2009

\vol 86

\issue 3

\pages 333--341

\crossref{https://doi.org/10.1134/S0001434609090053}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000271950700005}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-76249120418}

Linking options:

https://www.mathnet.ru/eng/mzm8504

https://doi.org/10.4213/mzm8504

https://www.mathnet.ru/eng/mzm/v86/i3/p360

This publication is cited in the following 11 articles:

Vladislav S. Medvedev, Evgeny V. Zhuzhoma, “On the Existence of Expanding Attractors with Different Dimensions”, Regul. Chaotic Dyn., 30:1 (2025), 93–102
Vyacheslav Z. Grines, Vladislav S. Medvedev, Evgeny V. Zhuzhoma, “Classification of Axiom A Diffeomorphisms with Orientable Codimension One Expanding Attractors and Contracting Repellers”, Regul. Chaotic Dyn., 29:1 (2024), 143–155
V. S. Medvedev, E. V. Zhuzhoma, “On a Classification of Chaotic Laminations which are Nontrivial Basic Sets of Axiom A Flows”, Rus. J. Nonlin. Dyn., 19:2 (2023), 227–237
V Medvedev, E Zhuzhoma, “Two-dimensional attractors of A-flows and fibred links on three-manifolds”, Nonlinearity, 35:5 (2022), 2192
N. V. Isaenkova, E. V. Zhuzhoma, “O sootvetstvii bazisnykh mnozhestv A-endomorfizmov i A-diffeomorfizmov”, Chelyab. fiz.-matem. zhurn., 3:3 (2018), 295–310
Isaenkova N., Zhuzhoma E., “On Spectral Decomposition of Smale-Vietoris Axiom a Diffeomorphisms”, Dynam. Syst., 32:2 (2017), 221–233
N. V. Isaenkova, E. V. Zhuzhoma, “Sopryazhenie diffeomorfizmov Smeila-Vietorisa posredstvom sopryazheniya endomorfizmov”, Zhurnal SVMO, 19:1 (2017), 38–50
V. Z. Grines, O. V. Pochinka, A. A. Shilovskaya, “Diffeomorfizmy 3-mnogoobrazii s odnomernymi bazisnymi mnozhestvami prostorno raspolozhennymi na 2-torakh”, Zhurnal SVMO, 18:1 (2016), 17–26
V. Z. Grines, Ye. V. Zhuzhoma, O. V. Pochinka, “Rough diffeomorphisms with basic sets of codimension one”, Journal of Mathematical Sciences, 225:2 (2017), 195–219
V. Grines, O. Pochinka, E. Zhuzhoma, “On families of diffeomorphisms with bifurcations of attractive and repelling sets”, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 24:8 (2014), 1440015, 8 pp.
Viacheslav Grines, Evgeny Zhuzhoma, Springer Proceedings in Mathematics, 1, Dynamics, Games and Science I, 2011, 421

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	609
Full-text PDF :	225
References:	96
First page:	11

Registration to the website

Logotypes