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Weak Chaos and Quasi-Regular Patterns

Weak Chaos and Quasi-Regular Patterns

£42.99

Part of Cambridge Nonlinear Science Series

  • Date Published: August 1992
  • availability: Available
  • format: Paperback
  • isbn: 9780521438285

£ 42.99
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About the Authors
  • This book, the first in the Cambridge Nonlinear Science Series, presents the fundamentals of chaos theory in conservative systems, providing a systematic study of the theory of transitional states of physical systems which lie between deterministic and chaotic behaviour. The authors' treatment of transitions to chaos, the theory of stochastic layers and webs, and the numerous applications of this theory, particularly to pattern symmetry, will make the book of importance to scientists from many disciplines.The authors have been meticulous in providing a detailed presentation of the material, enabling the reader to learn the necessary computational methods and to apply them in other problems. The inclusion of a significant amount of computer graphics is also an important aid to understanding. The final section of the book contains a fascinating collection of patterns in art and living nature. The book will be of interest to graduate students and researchers in physics and mathematics who are interested in problems of chaos, irreversibility, statistical mechanics and theories of spatial patterns and symmetries. The perhaps unconventional links between chaos theory and other topics make the book particularly interesting.

    • 1st book in Cambridge Nonlinear Science Series
    • 1st book on this specific subject
    • Written by prominent Russian experts
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    Reviews & endorsements

    'This book contains information that will benefit both students and researchers in many areas of physics, mathematics and other sciences who are working on problems in chaos, statistical mechanics, spatial patterns, symmetries, etc.' Contemporary Physics

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    Product details

    • Date Published: August 1992
    • format: Paperback
    • isbn: 9780521438285
    • length: 268 pages
    • dimensions: 234 x 152 x 18 mm
    • weight: 0.54kg
    • contains: 177 b/w illus.
    • availability: Available
  • Table of Contents

    Part I. General Concepts: Hamiltonian dynamics
    Stability and chaos
    Part II. Dymanic Order and Choas: The stochastic layer
    Stochastic layer - stochastic sea transition
    The stochastic web
    Uniform web
    Part III. Spatial Patterns: Two-dimensional patterns with quasi-symmetry
    Two-dimensional hydrodynamic patterns with symmetry and quasi-symmetry
    Chaos and streamlines
    Part IV. Miscellanea: Patterns in art and nature
    References
    Index.

  • Authors

    Georgin Moiseevich Zaslavskiî, New York University

    R. Z. Sagdeev, University of Maryland, College Park

    D. A. Usikov, University of Maryland, College Park

    A. A. Chernikov, Stevens Institute of Technology, New Jersey

    Translator

    A. R. Sagdeeva

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