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.
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Språk Engelska ● Formatera PDF ● ISBN 9783540683476 ● Utgivare Springer Berlin Heidelberg ● Publicerad 2006 ● Nedladdningsbara 3 gånger ● Valuta EUR ● ID 6319645 ● Kopieringsskydd Adobe DRM
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