Author | Buescu, Jorge. author |
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Title | Exotic Attractors [electronic resource] : From Liapunov Stability to Riddled Basins / by Jorge Buescu |
Imprint | Basel : Birkhรคuser Basel, 1997 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7421-2 |
Descript | XIV, 130 p. online resource |
1 Attractors in Dynamical Systems -- 1.1 Introduction -- 1.2 Basic definitions -- 1.3 Topological and dynamical consequences -- 1.4 Attractors -- 1.5 Examples and counterexamples -- 1.6 Historical remarks and further comments -- 2 Liapunov Stability and Adding Machines -- 2.1 Introduction -- 2.2 Adding Machines and Denjoy maps -- 2.3 Stable Cantor sets are Adding Machines -- 2.4 Adding Machines and periodic points: interval maps -- 2.5 Interlude: Adding Machines as inverse limits -- 2.6 Stable ?-limit sets are Adding Machines -- 2.7 Classification of Adding Machines -- 2.8 Existence of Stable Adding Machines -- 2.9 Historical remarks and further comments -- 3 From Attractor to Chaotic Saddle: a journey through transverse instability -- 3.1 Introduction -- 3.2 Normal Liapunov exponents and stability indices -- 3.3 Normal parameters and normal stability -- 3.4 Example: ?2-symmetric maps on ?2 -- 3.5 Example: synchronization of coupled systems -- 3.6 Historical remarks and further comments