Geodesic
Hyperbolic attractors of diffeomorphisms of orientable surfaces. Part 3. Classification algorithm
Sbornik. Mathematics, Tome 186 (1995) no. 2, pp. 221-244 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Hyperbolic attractors of diffeomorphisms of orientable surfaces. {Part~3.} {Classification} algorithm},
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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/

[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

[3] Zhirov A. Yu., “Giperbolicheskie attraktory diffeomorfizmov orientiruemykh poverkhnostei. Chast 1”, Matem. sb., 185:6 (1994), 3–50 | MR | Zbl

[4] Plykin R. V., “Istochniki i stoki $A$-diffeomorfizmov poverkhnostei”, Matem. sb., 94(136) (1974), 243–264 | MR | Zbl

[5] Williams R. F., “Classification of one-dimensional attractors”, Glob. Anal. Proc. Symp. Pure Math., 14 (1970), 329–334 | MR | Zbl