Geodesic
On the topological classification of Lorenz-type attractors
Sbornik. Mathematics, Tome 197 (2006) no. 4, pp. 547-593

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A generalization is considered of Williams's well-known model of the attractor in the Lorenz system, the inverse limit of semiflows on branched manifolds that are suspensions over a discontinuous expanding map of a closed line interval. The generalization consists in the consideration of maps with several, rather than one, discontinuity points. A cardinal-valued topological invariant L-manuscript is constructed, which distinguishes a continuum of non-homeomorphic generalized models. A topological invariant distinguishing a continuum of non-homeomorphic geometric Lorenz attractors is obtained as a consequence. Bibliography: 16 titles. 
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     title = {On the topological classification of {Lorenz-type} attractors},
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N. É. Klinshpont. On the topological classification of Lorenz-type attractors. Sbornik. Mathematics, Tome 197 (2006) no. 4, pp. 547-593. http://geodesic.mathdoc.fr/item/SM_2006_197_4_a3/