Research Catalog

Title

Nonlinear physics for beginners : fractals, chaos, solitons, pattern formation, cellular automata, complex systems / [compiled by] Lui Lam.

Publication

Singapore ; River Edge, NJ : World Scientific, c1998.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Lam, Lui.

Description

viii, 338 p. : ill. (some col.); 28 cm.

Subject

• Mathematical physics
• Nonlinear theories

Note

• Includes reprints of 15 review papers and essays written by pioneers and 11 research articles; and collection of 17 student projects.

Bibliography (note)

• Includes bibliographical references and index.

Processing Action (note)

• committed to retain

Contents

• Fractals: Fractal Growth Processes ; Fractal Geometry in Crumpled Paper Balls ; Fractal of Large Scale Structures in the Universe ; The Devil's Staircase ; Multifractal Phenomena in Physics and Chemistry ; Simple Multifractals with Sierpinski Gasket Supports -- Chaos: Chaos in a Dripping Faucet ; Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics ; Nonlinear Forecasting as a Way of Distinguishing Chaos from Measurement Error in Time Series ; Controlling Chaos ; Quantum Chaos ; How Random is a Coin Toss? -- Solitons: Soliton Propagation in Liquid Crystals ; Possible Relevance of Soliton Solutions to Superconductivity -- Pattern Formation: Dendrites, Viscous Fingers, and the Theory of Pattern Formation ; Tip Splitting Without Interfacial Tension and Dendritic Growth Patterns Arising from Molecular Anisotropy ; Oblique Roll Instability in an Electroconvective Anisotropic Fluid ; Critical Behavior in the Transitions to Convective Flows in Nematic Liquid Crystals ; Chemical Waves -- Cellular Automata and Complex Systems: More is Different ; Cellular Automata as Models of Complexity ; Catastrophes and Self-Organized Criticality ; Active-Walker Models: Growth and Form in Nonequilibrium Systems ; Active Walks and Path Dependent Phenomena in Social Systems.
• Fractals : The Chaos Game and Sierpinski Gasket ; Iteration Maps and the Sierpinski Fractals ; Calculating the Box Dimension ; Diffusion-Limited Aggregates in Radial Geometry ; The Dielectric Breakdown Model with Noise Reduction -- Chaos: The Tent Map ; The Waterwheel -- Pattern Formation: Biased Random Walks ; Surface Tension and the Evolution of Deformed Water Drops ; Ising-like Model of Ferrofluid Patterns -- Cellular Automata: One-Dimensional Totalistic Cellular Automata ; Two-Dimensional Cellular Automata: Formation of Clusters -- Theoretical: Curve Length and the Scaling Parameter ; Analysis of the Back-Propagating Neural Network for the XOR Problem -- Experimental: Instabilities of Finite Water Columns ; Viscous Fingering in Optical Cement Displaced by Water ; The Fractal Nature of Shock-Wave Induced Fractures ; Epilogue: The Real World -- Computer Program for Active Walk -- Publications from Nonlinear Physics Group of SJSU.

ISBN

• 9810201419 (pbk.)
• 9810201400

LCCN

^^^96035744^

OCLC

35280635

Owning Institutions

Harvard Library