Dynamical Systems / Edition 2

Dynamical Systems / Edition 2

by Clark Robinson
     
 

ISBN-10: 0849384958

ISBN-13: 9780849384950

Pub. Date: 01/01/1999

Publisher: Taylor & Francis

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
  • Overview

    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.

  • Product Details

    ISBN-13:
    9780849384950
    Publisher:
    Taylor & Francis
    Publication date:
    01/01/1999
    Series:
    Studies in Advanced Mathematics Series , #28
    Edition description:
    Revised
    Pages:
    520
    Product dimensions:
    7.00(w) x 10.00(h) x 1.13(d)

    Related Subjects

    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

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