Knots and Links in Three-Dimensional Flows
Seiten
1997
|
1997
Springer Berlin (Verlag)
978-3-540-62628-2 (ISBN)
Springer Berlin (Verlag)
978-3-540-62628-2 (ISBN)
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.
Prerequisites.- Templates.- Template theory.- Bifurcations.- Invariants.- Concluding remarks.
| Erscheint lt. Verlag | 20.3.1997 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | X, 214 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 294 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | Bifurcation • Boundary element method • differential equation • Differenzialgleichungen • Differenzialtopologie • Equation • ETCH • Form • Invariant • Sketch • Strömung • Template • Templates • Tool • Topology |
| ISBN-10 | 3-540-62628-X / 354062628X |
| ISBN-13 | 978-3-540-62628-2 / 9783540626282 |
| Zustand | Neuware |
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