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Knots and Links in Three-Dimensional Flows

Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan (Autoren)

Buch | Softcover

X, 214 Seiten

1997
Springer Berlin (Verlag)
978-3-540-62628-2 (ISBN)

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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