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The Genesis of Simulation in Dynamics

Pursuing the Fermi-Pasta-Ulam Problem

  • Book
  • © 1997

Overview

Authors:
  1. Thomas P. Weissert

    1. The Agnes Irwin School, Rosemont, USA

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  • Discusses such problems as the nonlinear oscillator simulation carried out by Fermi, Pasta, and Ulam at Los Alamos in the early 1950s; the mathematical rediscovery of solitons in the early 1960s; and the general problems of computability discussed by Kolmorogov, Arnold and Moser, by Ford, and by many others.

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    1. Introduction

      • Thomas P. Weissert
      Pages 1-6

  3. History

    1. Front Matter

      Pages 7-7
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    2. The FPU Model and Simulation: “A Little Discovery”

      • Thomas P. Weissert
      Pages 9-30

    3. The FPU Research Program: Echoes on a String

      • Thomas P. Weissert
      Pages 31-49

    4. The Kolmogorov-Arnold-Moser Theorem: “Here Comes the Surprise”

      • Thomas P. Weissert
      Pages 51-82

    5. Research Threads Come Together: Harmonic Convergence

      • Thomas P. Weissert
      Pages 83-102

  4. Philosophy

    1. Front Matter

      Pages 103-103
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    2. Steps to an Epistemology of Simulation

      • Thomas P. Weissert
      Pages 105-138

  5. Back Matter

    Pages 139-176
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Keywords

About this book

We hear a lot about dynamical systems theory these days-"chaos dy­ namics" is the popular idiom-but very little of this abstract discipline is taught in undergraduate or even in graduate school, unless that happens to be one's own field. People may have heard some of the terms, but they may not understand what a dynamicist does. Just what does a dynamicist do? Although I've been through the training, I spend much more time talk­ ing and thinking about dynamics than actually doing it, which is a circum­ stance that affords me an interesting perspective. Some time after defending my dissertation, when I stopped back by my alma mater on a visit through Boulder, I ran into one of my advisors, a practicing dynamicist, and he was excited to show me his new workstation and its resident software. Hope­ fully, by relating what I experienced then, I may in part help to answer my opening question. He sat down in front of a very large screen, at least 19 inches across, so closely, that it filled his field of view completely. At his fingertips were the usual mouse and keyboard. He fired up the software and chose a model; I think we were out to explore "just the standard map. " As the program began, the screen remained black, except for a small blinking cursor at the middle.

Authors and Affiliations

  • The Agnes Irwin School, Rosemont, USA

    Thomas P. Weissert

Bibliographic Information

  • Book Title: The Genesis of Simulation in Dynamics

  • Book Subtitle: Pursuing the Fermi-Pasta-Ulam Problem

  • Authors: Thomas P. Weissert

  • DOI: https://doi.org/10.1007/978-1-4612-1956-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-387-98236-6Published: 10 October 1997

  • Softcover ISBN: 978-0-387-98237-3Published: 10 October 1997

  • eBook ISBN: 978-1-4612-1956-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIII, 176

  • Topics: Physics, general

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