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Nonlinear Phenomena in Physics

Proceedings of the 1984 Latin American School of Physics, Santiago, Chile, July 16–August 3, 1984

  • Conference proceedings
  • © 1985

Overview

Editors:
  1. Francisco Claro

    1. Facultad de Fisica, Pontificia Universidad Catolica de Chile, Santiago, Chile

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Part of the book series: Springer Proceedings in Physics (SPPHY, volume 3)

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Table of contents (13 papers)

  1. Front Matter

    Pages I-IX
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  2. Mathematical Methods and General

    1. Front Matter

      Pages 1-1
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    2. Dynamics for Golden Mean Rotation

      • Mitchell J. Feigenbaum
      Pages 2-15

    3. Nonlinear Phenomena in Dissipative Systems

      • Pierre Coullet
      Pages 16-69

    4. Statistical Mechanics of the sine-Gordon Field: Part I

      • R. K. Bullough
      Pages 70-102

    5. Statistical Mechanics of the sine-Gorden Field: Part II

      • R. K. Bullough, D. J. Pilling, J. Timonen
      Pages 103-128

    6. Probabilistic Cellular Automata

      • B. A. Huberman
      Pages 129-137

  3. Quantum Optics

    1. Front Matter

      Pages 139-139
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    2. Chaos, Generalized Multistability and Low Frequency Spectra in Quantum Optics

      • F. T. Arecchi
      Pages 140-161

    3. From Optical Bistability to Chaos

      • H. M. Nussenzveig
      Pages 162-225

  4. Fluids

    1. Front Matter

      Pages 227-227
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    2. Recent Developments in Rayleigh-Benard Convection and Interface Dynamics

      • A. Libchaber
      Pages 228-236

  5. Astrophysics and General Relativity

    1. Front Matter

      Pages 237-237
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    2. Nonlinear Problems in Stellar Dynamics

      • G. Contopoulos
      Pages 238-254

    3. Solitons in General Relativity and Supergravity

      • G. W. Gibbons
      Pages 255-279

    4. The Dynamics of Spacetime Curvature: Nonlinear Aspects

      • Kip S. Thorne
      Pages 280-291

  6. High Energy Physics

    1. Front Matter

      Pages 293-293
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    2. Unification, Supersymmetry and Cosmology

      • John Ellis
      Pages 294-343

    3. Lectures on Quark Flavor Mixing in the Standard Model

      • Eduardo de Rafael
      Pages 344-439

  7. Back Matter

    Pages 441-444
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Keywords

About this book

It was almost four hundred years ago that Galileo wrote in Il Saggiatore that the "Book of Nature is written in mathema ti ca 1 characters". Thi s sentence, i nspi red at the dawn of physics has proved with the passage of time to contain a deep truth and also a warning: in order to understand Nature, first we must learn to read mathema­ tical characters. Indeed, writing physical law in such characters has proved not as hard as unraveling the content of the resulting equations. In particular, the lack of knowledge in the field of nonlinear mathematics has been a severe limita­ tion in the past. Thus the solution to equations such as the Navier-Stokes equation in fluid dynamics has remained elusive. The recent advent of fast computers and some important analytical and numerical results in the study of bifurcations and nonlinear waves have encouraged work both in theory and experiment involving non­ linear phenomena. An explosive growth in the specialized literature penetrating most research areas in physics in the last few years has ensued. This book contains the most recent advances in nonlinear physics in various fields including astrophysics, gravitation, particle physics, quantum optics, fluid dynamics and the mathematics underlying the phenomena of chaos and nonlinear waves. It presents a selection from the lectures delivered at the XXI '_atin American School of Physics held in Santiago, Chile in July-August 1984 (EtAF'84).

Editors and Affiliations

  • Facultad de Fisica, Pontificia Universidad Catolica de Chile, Santiago, Chile

    Francisco Claro

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