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4. Birkhoff normalization

  • Henk BroerEmail author
  • Igor Hoveijn
  • Gerton Lunter
  • Gert Vegter
II Theory
  • 392 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1806)

Abstract

  • 4.1 Introduction

  • 4.2 Introduction to Hamiltonian mechanics

  • 4.3 Birkhoff normal form theorem
    • 4.3.1 Semisimple quadratic part, and resonance

    • 4.3.2 Second normalization

  • 4.4 Algorithms for the Birkhoff normal form
    • 4.4.1 Another formulation of Birkhoff’s result

    • 4.4.2 Deprit’s algorithm

    • 4.4.3 The exponential-map algorithm

Mathematics Subject Classification (2000):

58C27 58F14 58F36 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • Henk Broer
    • 1
    Email author
  • Igor Hoveijn
    • 1
  • Gerton Lunter
    • 2
  • Gert Vegter
    • 1
  1. 1.Department of Mathematics and Computing SciencesUniversity of GroningenGroningenThe Netherlands
  2. 2.Department of StatisticsOxford UniversityOxfordUnited Kingdom

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