An introduction to certain aspects of developments in the modern theory of dynamics and simulation for a wide audience of scientifically literate readers. Unlike 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 the nonlinear oscillator simulation, the seminal discoveries at MIT in the early 1950s, the mathematical rediscovery of solitons in the late 1950s and the general problems of computability. In following these developments, the initial development of many of the now standard techniques of nonlinear modelling and numerical simulation are seen. No other text focuses so tightly and covers so completely one specific, pernicious problem at the heart of dynamics.
The Genesis of Simulation in Dynamics
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Inside This Book
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First Sentence:
In the Spring of 1952, the MANIAC-I computing machine came on line at Los Alamos. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
conditionally periodic tori, preserved tori, nonlinear oscillator systems, ergodic trajectories, periodic torus, unperturbed frequencies, discrete string, exponential separation, pair orbits, modal energy, homoclinic tangle, modal energies, small divisors, resonance overlap, overlap criterion, unfolding order, ergodic behavior, stochastic trajectories, amplitude instability, energy sharing, integrable model, coupled harmonic oscillators, ergodic hypothesis Key Phrases - Capitalized Phrases (CAPs): (learn more)
Joseph Ford, Physical Review, Los Alamos, Solar System New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In the Spring of 1952, the MANIAC-I computing machine came on line at Los Alamos. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
conditionally periodic tori, preserved tori, nonlinear oscillator systems, ergodic trajectories, periodic torus, unperturbed frequencies, discrete string, exponential separation, pair orbits, modal energy, homoclinic tangle, modal energies, small divisors, resonance overlap, overlap criterion, unfolding order, ergodic behavior, stochastic trajectories, amplitude instability, energy sharing, integrable model, coupled harmonic oscillators, ergodic hypothesis Key Phrases - Capitalized Phrases (CAPs): (learn more)
Joseph Ford, Physical Review, Los Alamos, Solar System New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 37
books:
See all 37 books this book cites
5
books
cite this book:
- Adventures of a Mathematician by S. M. Ulam in Back Matter
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold in Back Matter
- Classical Dynamics of Particles and Systems by Stephen T. Thornton in Back Matter
- Continued Fractions (Dover Books on Mathematics) by A. Ya. Khinchin in Back Matter
- Equilibrium and Non-Equilibrium Statistical Mechanics by Radu C. Balescu in Back Matter
See all 37 books this book cites
- Large-Scale Atmosphere-Ocean Dynamics by John Norbury on page 68
- New Constructions in Cellular Automata (Santa Fe Institute Studies in the Sciences of Complexity Proceedings) by David Griffeath on page 315
- Ordinary Differential Equations with Applications by Carmen Chicone in Back Matter
- New Constructions in Cellular Automata (Santa Fe Institute Studies in the Sciences of Complexity Proceedings) by David Griffeath on page 315
- Ordinary Differential Equations with Applications (Texts in Applied Mathematics) by Carmen Chicone on page 618
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