ISBN: 9789810213718 - renormalisation in area-preserving..(v6) (advanced series in nonlinear dynamics, band 6) (12 Ergebnisse)

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Hardback. Zustand: New. 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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Hardcover. Zustand: Brand New. 324 pages. 9.00x6.50x1.00 inches. In Stock.

Hardback. Zustand: New. 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.…

Hardcover. Zustand: new. Hardcover. This is a corrected and annotated version of 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, and much of their dynamics is reviewed in Chapter 1. The asymptotically universal structure is found on small scales in phase-space and long time-scales. Chapter 2 presents a brief survey of the use of the idea of renormalization in physics. The first universal structure, described in Chapter 3, appears at the accumulation of period-doubling sequences, the conservative parallel to the Feigenbaum-Coullet-Tresser universality. The second one appears at the breakup of golden invariant circles, described and explained in Chapter 4. The renormalization picture is presented as the key to understanding the transition from regular to chaotic motion in area-preserving maps. Area-preserving maps are the discrete-time analogue of two degree-of-freedom Hamiltonian systems. This book is a corrected and annotated version of the author's PhD thesis, in which two forms of asymptotically universal structure were presented and explained for area-preserving maps. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…