Knots and Links in Three-Dimensional Flows

  • Authors
  • Robert W. Ghrist
  • Philip J. Holmes
  • Michael C. Sullivan

Part of the Lecture Notes in Mathematics book series (LNM, volume 1654)

Table of contents

  1. Front Matter
    Pages I-X
  2. Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan
    Pages 1-4
  3. Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan
    Pages 5-32
  4. Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan
    Pages 33-68
  5. Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan
    Pages 69-106
  6. Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan
    Pages 107-142
  7. Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan
    Pages 143-166
  8. Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan
    Pages 167-191
  9. Back Matter
    Pages 192-209

About this book

Introduction

The closed orbits of three-dimensional flows form knots and links. This book develops the tools - template theory and symbolic dynamics - needed for studying knotted orbits. This theory is applied to the problems of understanding local and global bifurcations, as well as the embedding data of orbits in Morse-smale, Smale, and integrable Hamiltonian flows. The necesssary background theory is sketched; however, some familiarity with low-dimensional topology and differential equations is assumed.

Keywords

Etch Invariant Templates bifurcation boundary element method differential equation equation form sketch template tool topology

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093387
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-62628-2
  • Online ISBN 978-3-540-68347-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book