The Physics of Structure Formation

Table of Contents

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   Book Overview
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   Chapter 1 Neural Networks — Achievements, Prospects, Difficulties
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   Chapter 2 Pattern Recognition in Nonlinear Neural Networks
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   Chapter 3 Formation of Ordered Structures in Quenching Experiments: Scaling Theory and Simulations
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   Chapter 4 Patterns in Random Boolean Nets
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   Chapter 5 The Structure of the Visual Field
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   Chapter 6 Patterns of Maximal Entropy
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   Chapter 7 Patterns of Bifurcation from Spherically Symmetric States
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   Chapter 8 Structure Formation by Propagating Fronts
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    Chapter 9 Oscillatory Doubly Diffusive Convection: Theory and Experiment
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    Chapter 10 Pattern Selection in Anisotropic Systems
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    Chapter 11 Rayleigh Number Ramps Cause Moving Convection Patterns
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    Chapter 12 Interactions of Stationary Modes in Systems with Two and Three Spatial Degrees of Freedom
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    Chapter 13 The Basic ( n ,2 n )-Fold of Steady Axisymmetric Taylor Vortex Flows
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    Chapter 14 Nonlinear Interactions of Interface Structures of Differing Wavelength in Directional Solidification
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    Chapter 15 Velocity Selection in Dendritic Growth
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    Chapter 16 Interfacial Pattern Formation: Dynamical Effects
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    Chapter 17 Role of Fluctuations in Fluid Mechanics and Dendritic Solidification
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    Chapter 18 A Stochastic Model for Arborescent and Dendritic Growth
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    Chapter 19 Electrodeposition: Pattern Formation and Fractal Growth
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    Chapter 20 Anisotropy and Fluctuation in Diffusion Limited Aggregation
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    Chapter 21 The Classes of Fractals
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    Chapter 22 Structural Characterization of Aluminum Hydroxide Aggregates by S.A.X.S.: Comparison Between Simulations of Fractal Structures and Experiments
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    Chapter 23 Spatial Disorder in Extended Systems
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    Chapter 24 Nonlinear Gravity Waves and Resonant Forcing
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    Chapter 25 Transitions to Chaos in a Finite Macroscopic System: Direct Numerical Simulations Versus Normal Form Predictions
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    Chapter 26 Time-Dependent and Chaotic Behaviour in Systems with O(3)-Symmetry
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    Chapter 27 Selfsimilarity of Developed Turbulence
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    Chapter 28 Nonlinear Normal Modes of Symmetric Hamiltonian Systems
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    Chapter 29 The Ubiquitous Astroid
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    Chapter 30 On the Hopf Bifurcation with Broken O(2) Symmetry
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    Chapter 31 Generic Spontaneous Symmetry Breaking in SU( n ) — Equivariant Bifurcation Problems
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    Chapter 32 Computer Algebraic Tools for Applications of Catastrophe Theory
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    Chapter 33 Computer Algebra Programs for Dynamical Systems Theory