Nonlinear dynamics: from lasers to butterflies : selected lectures from the 15th Canberra International Physics Summer School, Australian National University, 21 January-1 February 2002
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Körperschaft: Canberra International Physics Summer School < 2002, Australian National University> (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Singapore World Scientific c2003
Schriftenreihe:World Scientific lecture notes in complex systems vol. 1
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Online-Zugang:FAW01
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Beschreibung:Includes bibliographical references
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 ... [et al.] -- 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 ... [et al.]
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)
Beschreibung:1 Online-Ressource (xiv, 435 p.)
ISBN:9789812383204
9789812791252
9812383204
9812791256

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