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Structural stability in physics.

Author: H Eikemeier; Werner Güttinger
Publisher: Berlin, Heidelberg : Springer, 1980.
Series: Springer series in synergetics, 4.
Edition/Format:   Print book : 2. print

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Document Type: Book
All Authors / Contributors: H Eikemeier; Werner Güttinger
ISBN: 0387094636 9780387094632 3540094636 9783540094630
OCLC Number: 251806195
Description: VIII, 311 Seiten ; 8°.
Contents: I General Concepts.- Towards a Revival of Natural Philosophy.- Catastrophe Theory.- Catastrophe Geometry in Physics: A Perspective.- Synergetics and a New Approach to Bifurcation Theory.- II Topological Aspects of Wave Motion.- Catastrophe and Fractal Regimes in Random Waves.- Distribution of Modes in Fractal Resonators.- Optical Caustics and Diffraction Catastrophes.- III Catastrophes in Infinite Dimensions.- Infinite Dimensions and the Fold Catastrophe.- Catastrophes and Bifurcations in Variational Problems.- Semiclassical Path Integrals in Terms of Catastrophes.- Catastrophe and Stochasticity in Semiclassical Quantum Mechanics.- IV Defects and Dislocations.- Stable Defects in Ordered Media.- Structural Stability in Evolving Flow Fields.- Wavefront Dislocations and Their Analysis Using Catastrophe Theory.- V Statistical Mechanics and Phase Transitions.- Structural Stability in Statistical Mechanics.- The 180 Rule at Triple Points: A Consideration Based on a Modified Butterfly Model.- Phase Diagrams and Catastrophes.- Information Measures and Thermodynamic Criteria of Motion.- Phase Transitions as Catastrophes: A Perspective.- VI Solitons.- Solitons in Physics: Basic Concepts.- Solitons in Mathematics.- Spin Wave Breathers in 3He B..- VII Dynamical Systems.- Catastrophic Effects in Pattern Recognition.- Cusp Bifurcation in Pituitary Thyrotropin Secretion.- Chaos.- Index of Contributors.
Series Title: Springer series in synergetics, 4.


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