An introduction to the study of chaotic systems via numerical analysis, this work includes many applications in physics and employs differential equations, linear vector spaces and some Hamiltonian systems. Includes problems.
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An introduction to the study of chaotic systems via numerical analysis, this work includes many applications in physics and employs differential equations, linear vector spaces and some Hamiltonian systems. Includes problems.
From the Back Cover
Chaos theory embodies an approach and a set of methods to deal with the complex behavior found in many physical systems. Indeed, the enthusiasm that has developed for the study of chaos is a result of the broad extent of its applications. However, chaos is a young science, and only in recent years have its important examples become well understood and its methods well developed and standardized.
Chaotic Dynamics of Nonlinear Systems presents the major models for the transitions to chaos exhibited by dynamic systems. Rasband introduces the "classical" topics and examples that have emerged as fundamental to the discipline. The most important routes to chaos are described in a unified framework and supported by integrated problem sets.
This book is an accessible introduction to the theory, techniques, and applications of chaos for researchers as well as teachers and students of physics, mathematics, and engineering. --This text refers to an out of print or unavailable edition of this title.
Chaotic Dynamics of Nonlinear Systems presents the major models for the transitions to chaos exhibited by dynamic systems. Rasband introduces the "classical" topics and examples that have emerged as fundamental to the discipline. The most important routes to chaos are described in a unified framework and supported by integrated problem sets.
This book is an accessible introduction to the theory, techniques, and applications of chaos for researchers as well as teachers and students of physics, mathematics, and engineering. --This text refers to an out of print or unavailable edition of this title.
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First Sentence:
Arguably the most broad based revolution in the worldview of science in the twentieth century will be associated with chaotic dynamics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
kicked harmonic oscillator, artificial phase space, perturbed twist map, action momenta, disk dynamo, doubling operator, attracting set, center manifold, renormalization calculation, tent map, logistic map, flip bifurcation, fold bifurcation, laminar phase, trapping region, qualitative sketch, attracting fixed point, cycle elements, damped pendulum, capacity dimension, chaotic dynamics, map parameter, invariant manifolds, fractal dimension, laminar region Key Phrases - Capitalized Phrases (CAPs): (learn more)
Subharmonic Scaling New!
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Arguably the most broad based revolution in the worldview of science in the twentieth century will be associated with chaotic dynamics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
kicked harmonic oscillator, artificial phase space, perturbed twist map, action momenta, disk dynamo, doubling operator, attracting set, center manifold, renormalization calculation, tent map, logistic map, flip bifurcation, fold bifurcation, laminar phase, trapping region, qualitative sketch, attracting fixed point, cycle elements, damped pendulum, capacity dimension, chaotic dynamics, map parameter, invariant manifolds, fractal dimension, laminar region Key Phrases - Capitalized Phrases (CAPs): (learn more)
Subharmonic Scaling 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 21
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38
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- Order in Chaos: Proceedings of the International Conference on Order in Chaos held at the Center for Nonlinear Studies, Los Alamos, New Mexico, 24-28 May, 1982 by David Campbell in Back Matter (1), Back Matter (2), and Back Matter (3)
- Chaotic Dynamics and Fractals (Notes and Reports in Mathematics in Science and Engineering Series) by Michael F. Barnsley in Back Matter
- Numerical Recipes: The Art of Scientific Computing by William H. Press in Back Matter
- Deterministic Chaos: An Introduction by Heinz Georg Schuster in Back Matter
- Geometrical Methods of Mathematical Physics by Bernard F. Schutz in Back Matter
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- Equilibrium Statistical Mechanics by Gene F. Mazenko in Back Matter (1), and Back Matter (2)
- Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers by Francis C. Moon in Back Matter (1), and Back Matter (2)
- Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers by Robert Hilborn on page 155, and Back Matter
- Chaos and Fractals in Engineering by Masahiro Nakagawa on page 197, and page 646
- Method of Normal Forms (Wiley Series in Nonlinear Science) by Ali Hasan Nayfeh in Back Matter
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