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Central Configurations, Periodic Orbits, and Hamiltonian Systems

  • Textbook
  • © 2015

Overview

Authors:
  1. Jaume Llibre

    1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

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  2. Richard Moeckel

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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  3. Carles Simó

    1. Dept Matemàtica Aplicada i Anàlisi Plaça Universitat, Edifici Històric, Universitat de Barcelona, Barcelona, Spain

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  • Provides applications to the study of periodic solutions for some well know differential equations and Hamiltonian systems
  • Includes new ideas and techniques for central configurations in spaces with dimension bigger than three
  • Presents invariant objects in dynamical systems in a unique combination of analytical and geometrical aspects

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

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-viii
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  2. The Averaging Theory for Computing Periodic Orbits

    • Jaume Llibre
    Pages 1-104

  3. Central Configurations

    • Richard Moeckel
    Pages 105-167

  4. Dynamical Properties of Hamiltonian Systems with Applications to Celestial Mechanics

    • Carles Simό
    Pages 169-232
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Keywords

About this book

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.

Authors and Affiliations

  • Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

    Jaume Llibre

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    Richard Moeckel

  • Dept Matemàtica Aplicada i Anàlisi Plaça Universitat, Edifici Històric, Universitat de Barcelona, Barcelona, Spain

    Carles Simó

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