ABSTRACT

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
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  • chapter I|12 pages

    Introduction

    chapter II|52 pages

    One-Dimensional Dynamics by Iteration

    chapter III|30 pages

    Chaos and Its Measurement

    chapter IV|38 pages

    Linear Systems

    chapter VI|20 pages

    Hamiltonian Systems

    chapter VII|26 pages

    Bifurcation of Periodic Points

    chapter VIII|106 pages

    Examples of Hyperbolic Sets and Attractors

    chapter IX|34 pages

    Measurement of Chaos in Higher Dimensions

    chapter X|46 pages

    Global Theory of Hyperbolic Systems

    chapter XI|20 pages

    Generic Properties