Nonlinear Dynamics: From Lasers to Butterflies: Selected Lectures from the 15th Canberra Inter National Physics Summer School 21 January-1 February 2002 Australian nation

by Ball, Rowena; Akhmediev, Nail

• ISBN13: 9789812383204
• ISBN10: 9812383204
• Format: Hardcover
• Copyright: 2003-07-01
• Publisher: World Scientific Pub Co Inc

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).

Table of Contents

Preface
Nonlinearity and Complexity: An Introduction	p. 1
Hunting Mathematical Butterflies	p. 77
The Dynamics of Fermi Acceleration: From Cosmic Rays to Discharge Heating	p. 115
Large Resonances in Hamiltonian Systems, with Applications	p. 165
Structure Functions, Cumulants and Breakdown Criteria for Wave Turbulence	p. 197
Renormalized Closure Theory and Subgrid-scale Parameterizations for Two-Dimensional Turbulence	p. 225
Low-Dimensional Modelling of Dynamical Systems Applied to Some Dissipative Fluid Mechanics	p. 257
Vortices and Spatial Solitons in Optical Resonators, and the Relations to Other Fields of Physics	p. 315
Nonlinear Waves and (Interesting) Applications	p. 369
Global Description of Patterns Far from Onset: A Case Study	p. 411
Table of Contents provided by Blackwell. All Rights Reserved.