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Instabilities and Nonequilibrium Structures

  • Book
  • © 1987

Overview

Editors:
  1. Enrique Tirapegui

    1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

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  2. Danilo Villarroel

    1. Departamento de Física, Facultad de Ciencias, Universidad Técnica Federico Santa María, Valparaíso, Chile

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Part of the book series: Mathematics and Its Applications (MAIA, volume 33)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Brief Introduction to the Contents of the Book

    • Enrique Tirapegui, Danilo Villarroel
    Pages 1-2

  3. Reduction of the Dynamics of a Bifurcation Problem Using Normal forms and Symmetries

    • G. Iooss
    Pages 3-40

  4. Stable Cycles with Complicated Structure

    • J. M. Gambaudo, P. Glendinning, C. Tresser
    Pages 41-62

  5. Large Scale Instabilities of Cellular Flows

    • S. Fauve
    Pages 63-88

  6. Physical Interpretation of Optical Bifurcations

    • H. M. Nussenzveig
    Pages 89-115

  7. The Interaction of Sound and Vorticity

    • Fernando Lund
    Pages 117-140

  8. Spatio-Temporal Instabilities in Closed and Open Flows

    • P. Huerre
    Pages 141-177

  9. Models of Pattern Formation from a Singularity Theory Point of View

    • P. Coullet, D. Repaux
    Pages 179-195

  10. Patterns and Defects Far From Equilibrium

    • Daniel Walgraef
    Pages 197-216

  11. Nonequilibrium Correlation Functions

    • Charles P. Enz
    Pages 217-239

  12. Fluctuations in Unstable Systems

    • N. G. van Kampen
    Pages 241-270

  13. Weak Noise Limit and Nonequilibrium Potentials of Dissipative Dynamical Systems

    • R. Graham
    Pages 271-290

  14. Fluctuations in “Metastable” Systems

    • R. Dandoloff, Y. Pomeau
    Pages 291-297

  15. Normal Forms with Noise

    • C. Elphick, E. Tirapegui
    Pages 299-310

  16. Adiabatic Nucleation, Stability Limit and the Glass Transition Temperature

    • Erich Meyer
    Pages 311-315

  17. Magnetic Islands Created by Resonant Helical Windings

    • A. S. Fernandes, M. V. A. P. Heller, I. L. Caldas
    Pages 317-324

  18. A Non-Markovian Lorentz Gas Model

    • Manuel O. Cáceres
    Pages 325-332

  19. Back Matter

    Pages 333-337
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Keywords

About this book

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perbaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Editors and Affiliations

  • Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

    Enrique Tirapegui

  • Departamento de Física, Facultad de Ciencias, Universidad Técnica Federico Santa María, Valparaíso, Chile

    Danilo Villarroel

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