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Multi-Hamiltonian Theory of Dynamical Systems

  • Maciej Błaszak

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-X
  2. Maciej Blaszak
    Pages 1-12
  3. Maciej Blaszak
    Pages 107-134
  4. Maciej Blaszak
    Pages 135-247
  5. Back Matter
    Pages 337-350

About this book

Introduction

This is a modern approach to Hamiltonian systems where multi-Hamiltonian systems are presented in book form for the first time. These systems allow a unified treatment of finite, lattice and field systems. Having more than one Hamiltonian formulation in a single coordinate system for a nonlinear system is a property closely related to integrability. Thus, the book presents an algebraic theory of integrable systems. It is written for scientists and graduate students.

Keywords

Hamiltonian dynamical system dynamical systems field theory invariant nonlinear system operator algebra philosophy of science quantum field theory tensor vector field

Authors and affiliations

  • Maciej Błaszak
    • 1
  1. 1.Physics DepartmentA. Mickiewicz UniversityPoznańPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-58893-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-63780-3
  • Online ISBN 978-3-642-58893-8
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site