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- catalog abstract "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.".
- catalog contributor b10303726.
- catalog contributor b10303727.
- catalog contributor b10303728.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "Contents: Introduction -- Prerequisites -- Templates -- Template Theory -- Bifurcations -- Invariants -- Concluding Remarks -- Appendix A: Morse-Smale/Smale Flows.".
- catalog description "Includes bibliographical references (p.[192]-204) and index.".
- catalog 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.".
- catalog extent "x, 208 p.. :".
- catalog hasFormat "Knots and links in three-dimensional flows.".
- catalog identifier "354062628X (softcover : alk. paper)".
- catalog isFormatOf "Knots and links in three-dimensional flows.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1654.".
- catalog isPartOf "Lecture notes in mathematics ; 1654".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Knots and links in three-dimensional flows.".
- catalog subject "510 s 514/.224 21".
- catalog subject "Cell aggregation Mathematics.".
- catalog subject "Flows (Differentiable dynamical systems)".
- catalog subject "Knot theory.".
- catalog subject "Link theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1654 QA614.82".
- catalog tableOfContents "Contents: Introduction -- Prerequisites -- Templates -- Template Theory -- Bifurcations -- Invariants -- Concluding Remarks -- Appendix A: Morse-Smale/Smale Flows.".
- catalog title "Knots and links in three-dimensional flows / Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan.".
- catalog type "text".