| Description |
1 online resource (xiv, 435 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
World Scientific lecture notes in complex systems ; vol. 1
|
|
World Scientific lecture notes in complex systems ; vol. 1.
|
| Bibliography |
Includes bibliographical references. |
| Contents |
Ch. 1. Nonlinearity and complexity: an introduction / B. Davies -- ch. 2. Hunting mathematical butterflies / N. Joshi -- ch. 3. The dynamics of Fermi acceleration: from cosmic rays to discharge heating / M.A. Lieberman -- ch. 4. Large resonances in Hamiltonian systems, with applications / C. Holmes -- ch. 5. Structure functions, cumulants and breakdown criteria for wave turbulence / L.J. Biven, C. Connaughton, and A.C. Newell -- ch. 6. Renormalized closure theory and subgrid-scale parameterizations for two-dimensional turbulence / J.S. Frederiksen -- ch. 7. Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics / A.J. Roberts -- ch. 8. Vortices and spatial solitons in optical resonators, and the relations to other fields of physics / C.O. Weiss [and others] -- ch. 9. Nonlinear waves and (interesting) applications / M.J. Ablowitz, T. Hirooka, and Z.H. Musslimani -- ch. 10. Global description of patterns far from onset: a case study / N. Ercolani [and others]. |
| Summary |
This book is an inspirational introduction to modern research directions and scholarship in nonlinear dynamics, and will also be a valuable reference for researchers in the field. With the scholarly level aimed at the beginning graduate student, the book will have broad appeal to those with an undergraduate background in mathematical or physical sciences. In addition to pedagogical and new material, each chapter reviews the current state of the area and discusses classic and open problems in engaging, surprisingly non-technical ways. The contributors are Brian Davies (bifurcations in maps), Nalini Joshi (integrable systems and asymptotics), Alan Newell (wave turbulence and pattern formation), Mark Ablowitz (nonlinear waves), Carl Weiss (spatial solitons), Cathy Holmes (Hamiltonian systems), Tony Roberts (dissipative fluid mechanics), Jorgen Frederiksen (two-dimensional turbulence), and Mike Lieberman (Fermi acceleration). |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Nonlinear theories -- Congresses.
|
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Nonlinear theories. |
| Genre/Form |
Electronic books.
|
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Conference papers and proceedings.
|
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Conference papers and proceedings.
|
| Added Author |
Ball, Rowena.
|
|
Akhmediev, Nail N.
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| Other Form: |
Print version: Canberra International Physics Summer School (15th : 2002 : Australian National University). Nonlinear dynamics. Singapore ; River Edge, N.J. : World Scientific, ©2003 9812383204 (DLC) 2005297911 (OCoLC)53103051 |
| ISBN |
9789812791252 (electronic book) |
|
9812791256 (electronic book) |
|
9812383204 |
|
9789812383204 |
|
