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9781441918864

Introduction to Hamiltonian Dynamical Systems and the N-body Problem

by ; ;
  • ISBN13:

    9781441918864

  • ISBN10:

    1441918868

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2010-11-29
  • Publisher: Springer Verlag
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Summary

This text grew out of notes from a graduate course taught to students in mathematics and mechanical engineering. The goal was to take students who had some basic knowledge of differential equations and lead them through a systematic grounding in the theory of Hamiltonian systems, an introduction to the theory of integrals and reduction. Poincar#xC3;#xA9;#xE2;#xAC;"s continuation of periodic solution, normal forms, and applications of KAM theory. There is a special chapter devoted to the theory of twist maps and various extensions of the classic Poincar#xC3;#xA9;-Birkhoff fixed point theorem.

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