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Kan, Ittai 2014-12-16T06:18:12Z 2014-12-16T06:18:12Z 10000-01-01 1984 1984 Consider orbitally stable attractors of those flows on the open solid torus D('2) x S('1) which have uniform velocity in the S('1) direction (uniform flows). It was found that any such attractor is the frontier of a strictly nested sequence of positively invariant open solid tori. Necessary and sufficient conditions related to these tori are derived for an arbitrary set to be an orbitally stable attractor. When the cross-section of an orbitally stable attractor is a Cantor set, then first return map is found to be conjugate to an irrational rotation on a certain compact abelian group. New examples are constructed of orbitally stable attractors of uniform C('(INFIN)) flows whose cross-sections have uncountably many components (one of these attractors has positive 3-dimensional Lebesgue measure). Made available in DSpace on 2014-12-16T06:18:12Z (GMT). No. of bitstreams: 1 8502197.pdf: 1401414 bytes, checksum: 156bb71db3535e6fd82be07dbefb31b8 (MD5) Previous issue date: 1984 Embargo set by: Seth Robbins for item 71394 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 53 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984. http://hdl.handle.net/2142/71228 (UMI)AAI8502197 Mathematics Strange Attractors of Uniform Flows (Cantor Set, Solenoid) text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.