Structural Stability in Physics
Springer Berlin (Verlag)
978-3-642-67365-8 (ISBN)
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.
Erscheint lt. Verlag | 25.1.2012 |
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Reihe/Serie | Springer Series in Synergetics |
Zusatzinfo | VIII, 314 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 170 x 244 mm |
Gewicht | 567 g |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika |
Schlagworte | Catastrophe Theory • diffraction • Dynamical Systems • Fields • fold catastrophe • Fractal • Katastrophe (Math.) • Mechanics • Phase diagram • Philosophy • Physics • quantum mechanics • Singularität (Math.) • Spin • Stabilität • stability • Statistical Mechanics • Wave |
ISBN-10 | 3-642-67365-1 / 3642673651 |
ISBN-13 | 978-3-642-67365-8 / 9783642673658 |
Zustand | Neuware |
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