On the problem of topological classification of strange attractors of dynamical systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 57 (2002) no. 6, pp. 1163-1205
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This paper consists of two parts. The first, which is devoted to presenting results of Barge and Watkins, connects the closure of the union of the unstable manifolds of certain “Smale horseshoes” with Knaster continua and projections on them of Vietoris–van Dantzig solenoids. In the second part the homeomorphism problem for expanding attractors of codimension 1 is solved when the dimension of the manifold generating the dynamical system is greater than two.
@article{RM_2002_57_6_a2,
author = {R. V. Plykin},
title = {On the problem of topological classification of strange attractors of dynamical systems},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {1163--1205},
publisher = {mathdoc},
volume = {57},
number = {6},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2002_57_6_a2/}
}
TY - JOUR AU - R. V. Plykin TI - On the problem of topological classification of strange attractors of dynamical systems JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2002 SP - 1163 EP - 1205 VL - 57 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RM_2002_57_6_a2/ LA - en ID - RM_2002_57_6_a2 ER -
%0 Journal Article %A R. V. Plykin %T On the problem of topological classification of strange attractors of dynamical systems %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2002 %P 1163-1205 %V 57 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/RM_2002_57_6_a2/ %G en %F RM_2002_57_6_a2
R. V. Plykin. On the problem of topological classification of strange attractors of dynamical systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 57 (2002) no. 6, pp. 1163-1205. http://geodesic.mathdoc.fr/item/RM_2002_57_6_a2/