Foreword; Introduction; Part I. Steps to a Deterministic Interpretation of Chaotic Signals: 1. Descriptions of turbulence; 2. A bit more on turbulence; 3. The Hénon mapping; 4. Capacity and Hausdorff dimension; 5. Attracting sets and attractors; 6. Extracting geometric information from a times series; Part II. The Ergodic Theory of Chaos: 7. Invariant probability measures; 8. Physical measures; 9. Characteristic exponents; 10. Invariant manifolds; 11. Axiom A and structural stability; 12. Entropy; 13. Dimensions; 14. Resonances; 15. Conclusions; References; Bibliography; Index.
"...deals with the aspects of dynamical systems which are more
closely related with ergodic theory, namely the properties of the
invariant measures generated by the time evolutions." Mathematics
and Computers in Simulation
"...an excellent survey of the current theoretical status of an
exciting subject. I think it is accessible to anyone with
undergraduate mathematics, and well worth reading." SIAM
Reviews
"...a fine reference book for experts in this field." The UMAP
Journal
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