02529nam 2200649 450 99646665780331620220304233404.03-540-68347-X10.1007/BFb0093387(CKB)1000000000437359(SSID)ssj0000324256(PQKBManifestationID)12064887(PQKBTitleCode)TC0000324256(PQKBWorkID)10304534(PQKB)10272447(DE-He213)978-3-540-68347-6(MiAaPQ)EBC5585359(Au-PeEL)EBL5585359(OCoLC)1066185242(MiAaPQ)EBC6842714(Au-PeEL)EBL6842714(OCoLC)1292358845(PPN)155197363(EXLCZ)99100000000043735920220304d1997 uy 0engurnn#008mamaatxtccrKnots and links in three-dimensional flows /Robert W. Ghrist, Philip J. Holmes, and Michael C. Sullivan1st ed. 1997.Berlin, Germany ;New York, New York :Springer-Verlag,[1997]©19971 online resource (X, 214 p.)Lecture Notes in Mathematics,0075-8434 ;1654Bibliographic Level Mode of Issuance: Monograph3-540-62628-X Prerequisites -- Templates -- Template theory -- Bifurcations -- Invariants -- Concluding remarks.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.Lecture Notes in Mathematics,0075-8434 ;1654Link theoryKnot theoryLink theory.Knot theory.51057M25mscGhrist Robert W.1969-61533Holmes Philip1945-Sullivan Michael C.1959-MiAaPQMiAaPQMiAaPQBOOK996466657803316Knots and links in three-dimensional flows262439UNISA