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Matematicheskie Zametki, 2009, Volume 86, Issue 3, Pages 360–370
DOI: https://doi.org/10.4213/mzm8504 (Mi mzm8504) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Classification of One-Dimensional Expanding Attractors

E. V. Zhuzhoma, N. V. Isaenkova

Nizhny Novgorod State Pedagogical University
Full-text PDF (550 kB) Citations (10)
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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
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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