Description

Book Synopsis
In 1972, G D Birkhoff wrote a treatise on the theory of dynamical systems that would inspire many later mathematicians to do great work. To a large extent, Birkhoff was writing about his own work on the subject, which was itself strongly influenced by Poincare's approach to dynamical systems. This volume is the revised 1966 reprinting of the book.

Table of Contents
Physical aspects of dynamical systems Variational principles and applications Formal aspects of dynamics Stability of periodic motions Existence of periodic motions Application of Poincare's geometric theorem General theory of dynamical systems The case of two degrees of freedom The problem of three bodies Addendum Footnotes Bibliography Index.

Dynamical Systems

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A Paperback by American Mathem American Mathem

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    View other formats and editions of Dynamical Systems by American Mathem American Mathem

    Publisher: MP-AMM American Mathematical
    Publication Date: 1/1/1939 12:00:00 AM
    ISBN13: 9780821810095, 978-0821810095
    ISBN10: 082181009X
    Also in:
    Calculus and mathematical analysis

    Description

    Book Synopsis
    In 1972, G D Birkhoff wrote a treatise on the theory of dynamical systems that would inspire many later mathematicians to do great work. To a large extent, Birkhoff was writing about his own work on the subject, which was itself strongly influenced by Poincare's approach to dynamical systems. This volume is the revised 1966 reprinting of the book.

    Table of Contents
    Physical aspects of dynamical systems Variational principles and applications Formal aspects of dynamics Stability of periodic motions Existence of periodic motions Application of Poincare's geometric theorem General theory of dynamical systems The case of two degrees of freedom The problem of three bodies Addendum Footnotes Bibliography Index.

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