Knots and links in three-dimensional flows

Author(s)

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

Bibliographic Information

Knots and links in three-dimensional flows

Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan

（Lecture notes in mathematics, 1654）

Springer, c1997

Note

Includes bibliography (p. [192]-204) and index

Description and Table of Contents

Description

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.

Table of Contents

Prerequisites.- Templates.- Template theory.- Bifurcations.- Invariants.- Concluding remarks.

by "Nielsen BookData"

Details

• NCID: BA30143248
• ISBN:
  • 354062628X
• LCCN: 97007251
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; Heidelberg
• Pages/Volumes: x, 208 p.
• Size: 24 cm
• Classification:
  • LCC : QA3
  • LCC : QA614.82
  • DC21 : 510 s
  • DC21 : 514/.224
  • NDC8 : 410.8
  • NDC8 : 415.7
• Subject Headings:
  • LCSH : Flows (Differentiable dynamical systems)
  • LCSH : Knot theory
  • LCSH : Link theory
• Parent Bibliography ID:
  • BA00146586