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Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents

Luis Barreira and Yakov Pesin
Publisher: 
Cambridge University Press
Publication Date: 
2007
Number of Pages: 
513
Format: 
Hardcover
Series: 
Encyclopedia of Mathematics and Its Applications 115
Price: 
115.00
ISBN: 
9780521832588
Category: 
Monograph
We do not plan to review this book.

Part I. Linear Theory: 1. The concept of nonuniform hyperbolicity; 2. Lyapunov exponents for linear extensions; 3. Regularity of cocycles; 4. Methods for estimating exponents; 5. The derivative cocycle; Part II. Examples and Foundations of the Nonlinear Theory: 6. Examples of systems with hyperbolic behavior; 7. Stable manifold theory; 8. Basic properties of stable and unstable manifolds; Part III. Ergodic Theory of Smooth and SRB Measures: 9. Smooth measures; 10. Measure-Theoretic entropy and Lyapunov exponents; 11. Stable ergodicity and Lyapunov exponents; 12, Geodesic flows; 13. SRB measures; Part IV. General Hyperbolic Measures: 14. Hyperbolic measures: entropy and dimension; 15. Hyperbolic measures: topological properties.

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