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portada Renormalisation in Area-Preserving Maps
Type
Physical Book
Author
Publisher
Language
English
Pages
324
Format
Hardcover
Dimensions
22.4x16x2.3 cm
Weight
0.68 kg.
ISBN13
9789810213718
Categories

Renormalisation in Area-Preserving Maps

Robert S. MacKay (Author) · World Scientific Publishing Company · Hardcover

Renormalisation in Area-Preserving Maps - MacKay, Robert S.

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Synopsis "Renormalisation in Area-Preserving Maps"

This book is adapted and revised from the author's seminal PhD thesis, in which two forms of asymptotically universal structure were presented and explained for area-preserving maps. Area-preserving maps are the discrete-time analogue of two degree-of-freedom Hamiltonian systems. How they work and much of their dynamics are described in this book. The asymptotically universal structure is found on small scales in phase-space and long time-scales. The key to understanding it is renormalisation, that is, looking at a system on successively smaller phase-space and longer time scales. Having presented this idea, the author briefly surveys the use of the idea of renormalisation in physics. The renormalisation picture is then presented as the key to understanding the transition from regular to chaotic motion in area-preserving maps. Although written ten years ago, the subject matter continues to interest many today. This updated version will be useful to both researchers and students.

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