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Titlebook: Dynamical Systems on Surfaces; Claude Godbillon Textbook 1983 Springer-Verlag Berlin Heidelberg 1983 Bl?tterung (Math.).Dynamical system.D

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書目名稱Dynamical Systems on Surfaces
編輯Claude Godbillon
視頻videohttp://file.papertrans.cn/284/283892/283892.mp4
叢書名稱Universitext
圖書封面Titlebook: Dynamical Systems on Surfaces;  Claude Godbillon Textbook 1983 Springer-Verlag Berlin Heidelberg 1983 Bl?tterung (Math.).Dynamical system.D
描述These notes are an elaboration of the first part of a course on foliations which I have given at Strasbourg in 1976 and at Tunis in 1977. They are concerned mostly with dynamical sys- tems in dimensions one and two, in particular with a view to their applications to foliated manifolds. An important chapter, however, is missing, which would have been dealing with structural stability. The publication of the French edition was re- alized by-the efforts of the secretariat and the printing office of the Department of Mathematics of Strasbourg. I am deeply grateful to all those who contributed, in particular to Mme. Lambert for typing the manuscript, and to Messrs. Bodo and Christ for its reproduction. Strasbourg, January 1979. Table of Contents I. VECTOR FIELDS ON MANIFOLDS 1. Integration of vector fields. 1 2. General theory of orbits. 13 3. Irlvariant and minimaI sets. 18 4. Limit sets. 21 5. Direction fields. 27 A. Vector fields and isotopies. 34 II. THE LOCAL BEHAVIOUR OF VECTOR FIELDS 39 1. Stability and conjugation. 39 2. Linear differential equations. 44 3. Linear differential equations with constant coefficients. 47 4. Linear differential equations with periodic coefficients. 5
出版日期Textbook 1983
關(guān)鍵詞Bl?tterung (Math; ); Dynamical system; Dynamisches System; Surfaces; dynamical systems
版次1
doihttps://doi.org/10.1007/978-3-642-68626-9
isbn_softcover978-3-540-11645-5
isbn_ebook978-3-642-68626-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag Berlin Heidelberg 1983
The information of publication is updating

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0172-5939 ey are concerned mostly with dynamical sys- tems in dimensions one and two, in particular with a view to their applications to foliated manifolds. An important chapter, however, is missing, which would have been dealing with structural stability. The publication of the French edition was re- alized
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Textbook 1983cerned mostly with dynamical sys- tems in dimensions one and two, in particular with a view to their applications to foliated manifolds. An important chapter, however, is missing, which would have been dealing with structural stability. The publication of the French edition was re- alized by-the eff
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,Schlu?,In this chapter we shall present some properties of linear differential equations in ?. in order to study locally the orbits of a vector field X on a manifold M in a neighbourhood of a singular point or of a periodic orbit.
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The Local Behaviour of Vector Fields,In this chapter we shall present some properties of linear differential equations in ?. in order to study locally the orbits of a vector field X on a manifold M in a neighbourhood of a singular point or of a periodic orbit.
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