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The Genesis of Simulation in Dynamics : Pursuing the Fermi-Pasta-Ulam Problem

Author: Thomas P Weissert
Publisher: New York, NY : Springer New York, 1997.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book introduces some aspects of the development of the modern theory of dynamics and simulation to a wide audience of scientifically literate readers. Unlike some other general texts on chaos theory and dynamical systems theory, this book follows the work on a specific problem at the very beginning of the modern era of dynamics, from its inception in 1954 through the early 1970s. It discusses such problems as  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Thomas P Weissert
ISBN: 9781461219569 1461219566
OCLC Number: 853270409
Description: 1 online resource (xiii, 176 pages)
Contents: I: History --
1. The FPU Model and Simulation: 'A Little Discovery' --
2. The FPU Research Program: Echoes on a String --
3. The Kolmogorov-Arnold-Moser Theorem: 'Here Comes the Surprise' --
4. Research Threads Come Together: Harmonic Convergence --
II: Philosophy --
5. Steps to an Epistemology of Simulation --
Append --
A. Hamiltonian Dynamics: Language of Abstraction --
A.1. Topology and Phase-Space Trajectories --
A.2. Canonical Transformations --
A.3. Transforming the Unperturbed String --
A.4. Cyclic Coordinates --
A.5. Liouville Integrability --
A.6. The Action-Angle Variables --
A.7. Dynamics on a Torus --
A.8. Commensurability: Two Types of Motion --
A.9. Digital Representation --
A.10. Physical Reality and the Continuum --
A.11. Perturbing the String --
References.
Responsibility: by Thomas P. Weissert.

Abstract:

An introduction to certain aspects of developments in the modern theory of dynamics and simulation for a wide audience of scientifically literate readers.  Read more...

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