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Dynamical Systems: Stability, Symbolic Dynamics, and Chaos, 2nd Edition (Hardback) book cover

Dynamical Systems

Stability, Symbolic Dynamics, and Chaos, 2nd Edition

By Clark Robinson

CRC Press

520 pages

Purchasing Options:$ = USD
Hardback: 9780849384950
pub: 1998-11-17
$170.00
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eBook (VitalSource) : 9780429161650
pub: 1998-11-17
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Description

Several distinctive aspects make Dynamical Systems unique, including:

  • treating the subject from a mathematical perspective with the proofs of most of the results included

  • providing a careful review of background materials

  • introducing ideas through examples and at a level accessible to a beginning graduate student

  • focusing on multidimensional systems of real variables

    The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.

  • Reviews

    "…was impressed with the teachability of this text and with the exercises at the end of each chapter, which seemed be nicely graded in difficulty."

    -D. Givoli, APPLIED MECHANICS REVIEWS

    Table of Contents

    Introduction

    One Dimensional Dynamics by Iteration

    Chaos and Its Measurement

    Linear Systems

    Analysis near Fixed Points and Periodic Orbits

    Hamiltonian Systems

    Bifurcation of Periodic Points

    Examples of Hyperbolic Sets and Attractors

    Measurement of Chaos in Higher Dimensions

    Global Theory of Hyperbolic Systems

    Generic Properties

    Smoothness of Stable Manifolds and Applications

    About the Series

    Studies in Advanced Mathematics

    Learn more…

    Subject Categories

    BISAC Subject Codes/Headings:
    MAT003000
    MATHEMATICS / Applied
    MAT007000
    MATHEMATICS / Differential Equations
    MAT037000
    MATHEMATICS / Functional Analysis