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Item Details
| Title:
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NONUNIFORM HYPERBOLICITY
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| By: |
Luis Barreira, Anatole Katok, Yakov Pesin |
| Format: |
Hardback |
| List price:
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£141.00 |
| Our price: |
£123.38 |
| Discount: |
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| You save:
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£17.62 |
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| ISBN 10: |
0521832586 |
| ISBN 13: |
9780521832588 |
| Availability: |
Usually dispatched within 1-3 weeks.
 Delivery
rates
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| Stock: |
Currently 0 available |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
1 September, 2007 |
| Series: |
Encyclopedia of Mathematics and Its Applications No. 115 |
| Pages: |
528 |
| Description: |
A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos. |
| Synopsis: |
Designed to work as a reference and as a supplement to an advanced course on dynamical systems, this book presents a self-contained and comprehensive account of modern smooth ergodic theory. Among other things, this provides a rigorous mathematical foundation for the phenomenon known as deterministic chaos - the appearance of 'chaotic' motions in pure deterministic dynamical systems. A sufficiently complete description of topological and ergodic properties of systems exhibiting deterministic chaos can be deduced from relatively weak requirements on their local behavior known as nonuniform hyperbolicity conditions. Nonuniform hyperbolicity theory is an important part of the general theory of dynamical systems. Its core is the study of dynamical systems with nonzero Lyapunov exponents both conservative and dissipative, in addition to cocycles and group actions. The results of this theory are widely used in geometry (e.g., geodesic flows and Teichmuller flows), in rigidity theory, in the study of some partial differential equations (e.g., the Schrodinger equation), in the theory of billiards, as well as in applications to physics, biology, engineering, and other fields. |
| Illustrations: |
Illustrations |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |
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