Flows on 2-dimensional manifolds : an overview / Igor Nikolaev, Evgeny Zhuzhoma

Auteur principal : Nikolaev, Igor, 1961-, AuteurCo-auteur : Zhuzhoma, Evgenii Viktorovich, 1951-, AuteurType de document : Livre numériqueCollection : Lecture notes in mathematics, 1705Langue : anglais.Éditeur : Berlin : Springer, 1999ISBN: 9783540660804.ISSN: 1617-9692.Sujet MSC : 37E35, Low-dimensional dynamical systems, Flows on surfaces
37C10, Smooth dynamical systems: general theory, Dynamics induced by flows and semiflows
37-02, Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theoryEn-ligne : Springerlink | Zentralblatt | MathSciNet
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Publisher’s description: Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C * -algebras and noncompact surfaces.

The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.

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