Sbornik. Mathematics, Tome 186 (1995) no. 2, pp. 221-244
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A. Yu. Zhirov. Hyperbolic attractors of diffeomorphisms of orientable surfaces. Part 3. Classification algorithm. Sbornik. Mathematics, Tome 186 (1995) no. 2, pp. 221-244. http://geodesic.mathdoc.fr/item/SM_1995_186_2_a3/
@article{SM_1995_186_2_a3,
author = {A. Yu. Zhirov},
title = {Hyperbolic attractors of diffeomorphisms of orientable surfaces. {Part~3.} {Classification} algorithm},
journal = {Sbornik. Mathematics},
pages = {221--244},
year = {1995},
volume = {186},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_186_2_a3/}
}
TY - JOUR
AU - A. Yu. Zhirov
TI - Hyperbolic attractors of diffeomorphisms of orientable surfaces. Part 3. Classification algorithm
JO - Sbornik. Mathematics
PY - 1995
SP - 221
EP - 244
VL - 186
IS - 2
UR - http://geodesic.mathdoc.fr/item/SM_1995_186_2_a3/
LA - en
ID - SM_1995_186_2_a3
ER -
%0 Journal Article
%A A. Yu. Zhirov
%T Hyperbolic attractors of diffeomorphisms of orientable surfaces. Part 3. Classification algorithm
%J Sbornik. Mathematics
%D 1995
%P 221-244
%V 186
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1995_186_2_a3/
%G en
%F SM_1995_186_2_a3
In this third part an algorithm is described that enables us to decide, in finitely many steps, whether two attractors of a given class are topologically conjugate or not, provided that at least one code of each is known.
[1] Grines V. Z., Kalai Kh. Kh., “O topologicheskoi ekvivalentnosti diffeomorfizmov s netrivialnymi bazisnymi mnozhestvami na dvumernykh mnogoobraziyakh”, Metody kachestv. teorii i teorii bifurkatsii, Gorkii, 1988, 40–49 | MR
[2] Zhirov A. Yu., “Perechislenie giperbolicheskikh attraktorov na orientiruemykh poverkhnostyakh i primeneniya k psevdoanosovskim gomeomorfizmam”, DAN, 330:6 (1993), 683–686 | MR | Zbl