Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

Front Matter....Pages i-xii
Spatial and Dynamical Properties of 1 — D Rayleigh-Benard Convection....Pages 1-6
Dimensions and Lyapunov Spectra From Measured Time Series of Taylor-Couette Flow....Pages 7-19
Dynamical Behaviour of Taylor Vortices with Superimposed Axial Flow....Pages 21-29
Externally Modulated Hydrodynamic Systems....Pages 31-43
Sideband Instability of Waves with Periodic Boundary Conditions....Pages 45-50
Transition to Chaos in Non-Parallel Two-Dimensional Flow in a Channel....Pages 51-60
Drifting Convection Rolls Induced by Spatial Modulation....Pages 61-65
Convection in a Rotating Cylindrical Annulus with Rigid Boundaries....Pages 67-72
Complex Demodulation Techniques for Experiments on Traveling-Wave Convection....Pages 73-91
Convection in Binary Liquids with Soret Effect: What We Can Learn from Laser Doppler Velocimetry Experiments....Pages 93-100
Boundary Layer Analysis of Traveling Waves in Binary Convection....Pages 101-107
Nonlinear Convection in Binary Mixtures....Pages 109-129
Structure and Dynamics of Nonlinear Convective States in Binary Fluid Mixtures....Pages 131-148
Onset of Soret and Dufour Driven Convection in Binary Fluid Mixtures....Pages 149-153
Experimental Study of Binary Fluid Convection in a Quasi 1-Dimensional Cell without Reflections from the Sidewalls....Pages 155-158
Interfacial Oscillations and Solitons Driven by the Marangoni Effect....Pages 159-167
Couette Flows, Rollers, Emulsions, Tall Taylor Cells, Phase Separation and Inversion, and a Chaotic Bubble in Taylor-Couette Flow of Two Immiscible Liquids....Pages 169-189
Traveling Waves in a Partly Solidified Mixture....Pages 191-196
Phase-Mean Drift Equation for Convection Patterns in Large Aspect Ratio Containers....Pages 197-209
Modulated Traveling Waves in Nonequilibrium Systems....Pages 211-220
Confined States in Phase Dynamics....Pages 221-229
Small-Scale Excitations in Large Systems....Pages 231-236
Bound States of Interacting Localized Structures....Pages 237-243
Nonlinear Dynamics of Particle-Like States of Multidimensional Fields....Pages 245-259
Caustics of Nonlinear Waves and Related Questions....Pages 261-269
Phase Dynamics and Propagation of Dislocations....Pages 271-283
Spirals in Excitable Chemical Media: From Archimedian to Non-Archimedian Geometry....Pages 285-292
Chemical Pattern Dynamics by Chemically Induced Hydrodynamic Flow....Pages 293-297
Stability of Travelling Waves in the Belousov-Zhabotinskii Reaction....Pages 299-311
The Formation and Propagation of Fronts at the Electric Field Induced Bend Freedericksz Transition....Pages 313-318
The Dynamics of Transient Structures in the Fredericksz Transition....Pages 319-325
Sideband Instability of Modulated Traveling Wave Convection....Pages 327-332
Spatial Instabilities and Defect Ordering in Solids....Pages 333-342
Mutual Interplay between the Break-Up of Spatial Order and the Onset of Low-Dimensional Temporal Chaos in an Exemplary Semiconductor System....Pages 343-350
Electroconvection in a Freely Suspended Film of Smectic a Liquid Crystal....Pages 351-357
Symmetry Breaking in Nonlinear Convection....Pages 359-374
Chaos and the Effect of Noise for the Double Hopf Bifurcation with 2:1 Resonance....Pages 375-384
Codimension 2 Bifurcation in Binary Convection with Square Symmetry....Pages 385-398
Dynamics of Slowly Varying Wavetrains in Finite Geometry....Pages 399-410
Kinks and Solitons in the Generalized Ginzburg-Landau Equation....Pages 411-417
Onset of Chaos in the Generalized Ginzburg-Landau Equation....Pages 419-424
Turbulence and Linear Stability in a Discrete Ginzburg-Landau Model....Pages 425-435
On the Stability of Parametrically Excited Standing Waves....Pages 437-443
Directional Solidification of Transparent Eutectic Alloys....Pages 445-450
Directional Solidification of a Faceted Crystal....Pages 451-456
Routes to Cell Formation and Hidden Ramps in Directional Solidification....Pages 457-473
Influence of an External Periodic Flow on Dendritic Crystal Growth....Pages 475-479
Pattern Growth: From Smooth Interfaces to Fractal Structures....Pages 481-486
The Printer’s Instability: The Dynamical Regimes of Directional Viscous Fingering....Pages 487-497
Front Propagation into Unstable States: Some Recent Developments and Surprises....Pages 499-508
Collapsing Solutions in the 3-D Euler Equations....Pages 509-513
Large Magnetic Reynolds Number Dynamo Action in Steady Spatially Periodic Flows....Pages 515-539
On Spatial Structure of Kolmogorov Spectra of Weak Turbulence....Pages 541-544
Spatiotemporal Intermittency....Pages 545-552
On the Scale-Invariant Theory of Developed Hydrodynamic Turbulence Kolmogorov Type....Pages 553-562
Back Matter....Pages 563-569