Nonlinear physics for beginners : fractals, chaos, solitons, pattern formation, cellular automata, complex systems
著者
書誌事項
Nonlinear physics for beginners : fractals, chaos, solitons, pattern formation, cellular automata, complex systems
World Scientific, c1998
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for simulation models included.The book can be used for self-study, as a textbook for a one-semester course, or as supplement to other courses in linear or nonlinear systems. The reader should have some knowledge in introductory college physics. No mathematics beyond calculus and no computer literacy are assumed.
目次
- Introduction: Overview of Nonlinear Physics
- Fractals
- Chaos
- Solitons
- Pattern Formation
- Cellular Automata and Complex Systems
- Sample Projects: A brief description of 17 projects in Nonlinear Physics carried out by senior and graduate students at San Jose State Univ., with references and computer programs
- Reprints: Fractal Growth Processes (L M Sander)
- Multifractal Phenomena in Physuics and Chemistry (H E Stanley & P Meakin)
- The Devil's Staircase (P Bak)
- Fractal Geometry in Crumpled Paper Balls (M A F Gromes)
- Fractal of Large Scale Structure in the Universe (L Z Fang)
- Chaos (J P Crutchfield et al.)
- Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics (C Grebogi et al.)
- How Random is a Coin Toss? (J Ford)
- Chaos in a Dripping Faucet (H N Nunez Yepez et al.)
- Dendrites, Viscous Fingers, and the Theory of Pattern Formation (J A Langer)
- Tip Splitting Without Interfacial Tension and Denadritic Growth Patters Arising from Molecular Anisotropy (J Nittmann & H E Stanley)
- Oblique Roll Instability in an Electroconvective Anisotropic Fluid (R Ribotta et al.)
- Chemical Waves (J Ross et al.)
- Soliton Propagation in Liquid Crystals (Lin Leo et al.)
- Possible Relevance of Soliton Solutions to Superconductivity (T D Lee)
- Cellular Automata as Models of Complexity (S Wolfram)
- Quantum Chaos (M C Gutzwiller)
- Catastrophes and Self-Organized Criticality (P Bak)
- More is Different (P W Anderson).
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