Smale-Williams attractor
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Author: Dr. Robert F. Williams, Department of Mathematics, University of Texas, Austin, TX
on Amazon.Dr. Robert F. Williams accepted the invitation on 29 January 2007 (self-imposed deadline: 29 February 2007).
This article will briefly cover: Attractors with a hyperbolic structure in the sense of Smale. (possible working name: SW attractors)Originated with the 1967 paper of Smale and an article by me, also in 1967, entitled 'One dimensional non-wandering sets' in which 1-dimensional sw attractors were characterized. This was extended to higher dimensions with a paper 'Expanding Attractors'. Where this concept was introduced in 1974. It has recently (1998, Anderson-Putnam) to include 'tiling spaces.'
| Invited by: | Dr. Eugene M. Izhikevich, Editor-in-Chief of Scholarpedia, the peer-reviewed open-access encyclopedia |
