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Dissipative Structure & Weak Turbulence.
Dissipative Structure & Weak Turbulence.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Burlington :
Elsevier Science,
1990.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Dissipative Structures and Weak Turbulence; Copyright Page; Table of Contents; Foreword; Chapter 1. Outlook; 1. Dissipative Structures; 2. Transition to Temporal Chaos; 3. Spatio-temporal Chaos and Weak Turbulence; 4. Bibliographical Notes; Chapter 2. Evolution and Stability, Basic Concepts; 1. General Framework; 2. Global Stability; 3. Normal Modes, Linear and Nonlinear Dynamics; 4. Qualitative Dynamics; 5. Bibliographical Notes; Chapter 3. Instability Mechanisms; 1. Rayleigh-B�enard Convection; 2. Convection in Binary Mixtures; 3. Thermal Convection in Nematic Liquid Crystals.
- 4. Electrohydrodynamic Instabilities in Nematics5. Taylor-Couette Instability; 6. B�enard-Marangoni Convection; 7. Bibliographical Notes; Chapter 4. Thermal Convection; 1. Boussinesq Equations and Boundary Conditions; 2. Normal Mode Analysis; 3. Phenomenology of Nonlinear Convection; 4. Phenomenology of the Transition to Turbulence; 5. Bibliographical Notes; Chapter 5. Low-Dimensional Dynamical Systems; 1. Dimension Reduction: A Case Study; 2. Center Manifold and Normal Forms; 3. Dynamics and Bifurcations in One Dimension; 4. Introduction to Higher Dimensional Problems.
- 5. Dynamics and Bifurcations in Two Dimensions6. Conclusion; 7. Bibliographical Notes; Chapter 6. Beyond Periodic Behavior; 1. Poincar�e Maps; 2. Stability of a Limit Cycle; 3. Bifurcations of a Limit Cycle; 4. Nature of Turbulence and Transition Scenarios; 5. The Sub-Harmonic Route to Turbulence; 6. Temporal Intermittency; 7. Quasi-Periodicity; 8. Beyond ""Classical"" Scenarios; 9. Bibliographical Notes; Chapter 7. Characterization of Temporal Chaos; 1. Divergence of Trajectories and Lyapunov Exponents; 2. Probabilistic Approach; 3. Chaos and Dimensions; 4. Experimental Approach.
- 5. Bibliographical NotesChapter 8. Basics of Pattern Formation in Weakly Confined Systems; 1. Instabilities, Confinement, and Aspect Ratios; 2. Pattern Formation; 3. Uniform Nonlinear Solutions; 4. Modulated Structures; 5. Bibliographical Notes; Chapter 9. Applications of the Envelope Formalism; 1. Phase Winding Solutions; 2. Long Wavelength Instabilities; 3. Lateral Boundary Effects; 4. Structural Defects; 5. Pattern Selection at Lowest Order; 6. Bibliographical Notes; Chapter 10. Dynamics of Textures and Turbulence; 1. Phase Diffusion in Steady Roll Patterns.
- 2. Nonlinear Selection and Weak Turbulence3. Transition to Turbulence in Oscillating Patterns; 4. Spatio-temporal Intermittency; 5. Hydrodynamics and Turbulence; 6. Bibliographical Notes; Appendix 1: Macroscopic Dynamics; 1. General Fluid Systems; 2. Thermohydrodynamics; 3. Nematic Liquid Crystals; 4. Bibliographical Notes; Appendix 2: Differential Calculus; 1. Initial Value Problems; 2. Boundary Value Problems; 3. Differential Equations with Delay; 4. Bibliographical Notes; Appendix 3: Numerical Simulations; 1. Introduction; 2. Finite Differences for Time Stepping.