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Chaotic Dynamics of Nonlinear Systems [Hardcover]

S. Neil Rasband (Author)


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Book Description

January 16, 1990 0471634182 978-0471634188 1
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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From the Publisher

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.

Product Details

  • Hardcover: 230 pages
  • Publisher: Wiley-Interscience; 1 edition (January 16, 1990)
  • Language: English
  • ISBN-10: 0471634182
  • ISBN-13: 978-0471634188
  • Product Dimensions: 9.6 x 6.4 x 0.9 inches
  • Shipping Weight: 1.2 pounds
  • Amazon Best Sellers Rank: #2,204,354 in Books (See Top 100 in Books)

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Inside This Book (learn more)
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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
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