Geodesic
Hyperbolic attractors of diffeomorphisms of orientable surfaces. Part~3. Classification algorithm
Sbornik. Mathematics, Tome 186 (1995) no. 2, pp. 221-244

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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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     author = {A. Yu. Zhirov},
     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/