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 ...
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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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Add this copy of Renormalisation in Area-Preserving Maps (Advanced to cart. $70.96, good condition, Sold by Orca Knowledge Systems, Inc rated 5.0 out of 5 stars, ships from Novato, CA, UNITED STATES, published 1993 by World Scientific Pub Co Inc.
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Good. No DJ. Ex University of California, Berkeley Math/Stat Library book with usual library markings. No other marks in lightly read book. Binding is tight, text clean. Hardcover shelf wear. Volume 6 in series.