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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      Book details

      Publisher American Mathematical Society
      Published 1 January 1939
      ISBN-13 9780821810095
      978-0821810095
      ISBN-10 082181009X

      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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