Knots and Links in Three-Dimensional Flows / Edition 1

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More About This Textbook

Overview

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.

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Product Details

  • ISBN-13: 9783540626282
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 4/18/1997
  • Series: Lecture Notes in Mathematics Series , #1654
  • Edition description: 1997
  • Edition number: 1
  • Pages: 218
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.48 (d)

Table of Contents

Contents: Introduction.- Prerequisites.- Templates.- Template Theory.- Bifurcations.- Invariants.- Concluding Remarks.- Appendix A: Morse-Smale/Smale Flows.

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