The Physics of Structure Formation: Theory and Simulation

The Physics of Structure Formation: Theory and Simulation

Hardcover

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Product Details

ISBN-13: 9783540183839
Publisher: Springer Berlin Heidelberg
Publication date: 12/28/1987
Series: Springer Series in Synergetics , #37
Pages: 427
Product dimensions: 6.50(w) x 1.50(h) x 9.50(d)

Table of Contents

I Disordered Systems, Networks and Patterns.- Neural Networks — Achievements, Prospects, Difficulties.- Pattern Recognition in Nonlinear Neural Networks.- Formation of Ordered Structures in Quenching Experiments: Scaling Theory and Simulations.- Patterns in Random Boolean Nets.- The Structure of the Visual Field.- Patterns of Maximal Entropy.- II Structure Formation in Nonlinear Systems.- Patterns of Bifurcation from Spherically Symmetric States.- Structure Formation by Propagating Fronts.- Oscillatory Doubly Diffusive Convection: Theory and Experiment.- Pattern Selection in Anisotropic Systems.- Rayleigh Number Ramps Cause Moving Convection Patterns.- Interactions of Stationary Modes in Systems with Two and Three Spatial Degrees of Freedom.- The Basic (n,2n)-Fold of Steady Axisymmetric Taylor Vortex Flows.- III Interfacial Patterns.- Nonlinear Interactions of Interface Structures of Differing Wavelength in Directional Solidification.- Velocity Selection in Dendritic Growth.- Interfacial Pattern Formation: Dynamical Effects.- IV Diffusion Limited Aggregation and Fractals.- Role of Fluctuations in Fluid Mechanics and Dendritic Solidification.- A Stochastic Model for Arborescent and Dendritic Growth.- Electrodeposition: Pattern Formation and Fractal Growth.- Anisotropy and Fluctuation in Diffusion Limited Aggregation.- The Classes of Fractals.- Structural Characterization of Aluminum Hydroxide Aggregates by S.A.X.S.: Comparison Between Simulations of Fractal Structures and Experiments.- V Chaos and Turbulence.- Spatial Disorder in Extended Systems.- Nonlinear Gravity Waves and Resonant Forcing.- Transitions to Chaos in a Finite Macroscopic System: Direct Numerical Simulations Versus Normal Form Predictions.- Time-Dependent and Chaotic Behaviour in Systems with O(3)-Symmetry.- Selfsimilarity of Developed Turbulence.- VI Bifurcations and Symmetry.- Nonlinear Normal Modes of Symmetric Hamiltonian Systems.- The Ubiquitous Astroid.- On the Hopf Bifurcation with Broken O(2) Symmetry.- Generic Spontaneous Symmetry Breaking in SU(n) — Equivariant Bifurcation Problems.- Computer Algebraic Tools for Applications of Catastrophe Theory.- Computer Algebra Programs for Dynamical Systems Theory.- Index of Contributors.

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