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Central Configurations, Periodic Orbits, and Hamiltonian Systems

  • Jaume Llibre
  • Richard Moeckel
  • Carles Simó
Textbook

Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Richard Moeckel
    Pages 105-167

About this book

Introduction

The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second one, given by Richard Moeckel, focusses on methods for studying Central Configurations. The last one, by Carles Simó, describes the main mechanisms leading to a fairly global description of the dynamics in conservative systems.

The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications.

Keywords

Brower degree averaging theory celestial mechanics invariant objects in conservative systems n-body problem

Authors and affiliations

  • Jaume Llibre
    • 1
  • Richard Moeckel
    • 2
  • Carles Simó
    • 3
  1. 1.Departament de MatemàtiquesUniversitat Autònoma de BarcelonaBarcelonaSpain
  2. 2.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  3. 3.Dept Matemàtica Aplicada i Anàlisi Plaça Universitat, Edifici HistòricUniversitat de BarcelonaBarcelonaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0933-7
  • Copyright Information Springer Basel 2015
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0932-0
  • Online ISBN 978-3-0348-0933-7
  • Series Print ISSN 2297-0304
  • Series Online ISSN 2297-0312
  • Buy this book on publisher's site