Knots and Links in Three-Dimensional Flows

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...

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Chi tiết về thư mục
Những tác giả chính: Ghrist, Robert W., 1969-, Sullivan, Michael, 1942- (Tác giả), Holmes, Philip, 1945- (Tác giả)
Định dạng: Livre numérique
Ngôn ngữ:Anglais
Được phát hành: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Loạt:Lecture notes in mathematics 1654
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Edition sous un autre format:• Knots and links in three-dimensional flows, Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan, Berlin, Springer, 1997, 1 vol. (X-208 p.), Lecture notes in mathematics, 3-540-62628-X
• Knots and Links in Three-Dimensional Flows, Texte imprimé, 9783662198964
Miêu tả
Tóm tắt: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.
Mô tả sách:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
số ISBN:9783540683476 (PDF)
số ISSN:1617-9692
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