|
This article is cited in 5 scientific papers (total in 5 papers)
On the topological classification of Lorenz-type attractors
N. É. Klinshpont
Abstract:
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.
Received: 02.07.2004 and 27.10.2005
Citation:
N. É. Klinshpont, “On the topological classification of Lorenz-type attractors”, Mat. Sb., 197:4 (2006), 75–122; Sb. Math., 197:4 (2006), 547–593
Linking options:
https://www.mathnet.ru/eng/sm1547https://doi.org/10.1070/SM2006v197n04ABEH003770 https://www.mathnet.ru/eng/sm/v197/i4/p75
|
Statistics & downloads: |
Abstract page: | 456 | Russian version PDF: | 253 | English version PDF: | 6 | References: | 50 | First page: | 1 |
|