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2. Method I: Planar reduction

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

Abstract

  • 2.1 Introduction
    • 2.1.1 BCKV-restricted morphisms

  • 2.2 Details of the planar reduction method
    • 2.2.1 Overview

    • 2.2.2 Some notation

    • 2.2.3 Birkhoff normalization

    • 2.2.4 Reduction to planar 1 degree-of-freedom system

    • 2.2.5 Reduction to the central singularity

    • 2.2.6 Inducing the system from a versal deformation

    • 2.2.7 BCKV normal form

  • 2.3 Spring-pendulum in 1:2-resonance
    • 2.3.1 The system

    • 2.3.2 Reduction

    • 2.3.3 Dynamics and bifurcations

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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