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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语言 英语 ● 格式 PDF ● ISBN 9783540683476 ● 出版者 Springer Berlin Heidelberg ● 发布时间 2006 ● 下载 3 时 ● 货币 EUR ● ID 6319645 ● 复制保护 Adobe DRM
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