Exotic attractors : from Liapunov stability to riddled basins /
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| Author / Creator: | Buescu, Jorge, 1964- |
|---|---|
| Imprint: | Basel ; Boston : Birkhàˆuser Verlag, c1997. |
| Description: | xiii, 130 p. : ill. (some col.) ; 24 cm. |
| Language: | English |
| Series: | Progress in mathematics ; v. 153 Progress in mathematics (Boston, Mass.) ; vol. 153. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/3612803 |
Table of Contents:
- 1. Attractors in Dynamical Systems. Basic definitions. Topological and dynamical consequences. Attractors. Examples and counterexamples
- 2. Liapunov Stability and Adding Machines. Adding Machines and Denjoy maps. Stable Cantor sets are Adding Machines. Adding Machines and periodic points: interval maps. Interlude: Adding Machines as inverse limits. Stable [omega]-limit sets are Adding Machines. Classification of Adding Machines. Existence of Stable Adding Machines
- 3. From Attractor to Chaotic Saddle: a journey through transverse instability. Normal Liapunov exponents and stability indices. Normal parameters and normal stability. Example: Z[subscript]2-symmetric maps on R[superscript]2. Example: synchronization of coupled systems.
