Flows On 2 Dimensional Manifolds
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Flows on 2 dimensional Manifolds
Author | : Igor Nikolaev,Evgeny Zhuzhoma |
Publsiher | : Springer |
Total Pages | : 305 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540487593 |
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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 non-compact 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.
Flows on 2 Dimensional Manifolds
Author | : Igor Nikolaev,Evgeny Zhuzhoma |
Publsiher | : Unknown |
Total Pages | : 324 |
Release | : 2014-01-15 |
Genre | : Electronic Book |
ISBN | : 3662172666 |
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Optimal Syntheses for Control Systems on 2 D Manifolds
Author | : Ugo Boscain,Benedetto Piccoli |
Publsiher | : Springer Science & Business Media |
Total Pages | : 284 |
Release | : 2003-11-26 |
Genre | : Mathematics |
ISBN | : 3540203060 |
Download Optimal Syntheses for Control Systems on 2 D Manifolds Book in PDF, Epub and Kindle
This book is devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The text outlines examples of applicability, introduces geometric methods in control theory, and analyzes single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated.
Periodic Hamiltonian Flows on Four Dimensional Manifolds
Author | : Yael Karshon |
Publsiher | : American Mathematical Soc. |
Total Pages | : 71 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780821811818 |
Download Periodic Hamiltonian Flows on Four Dimensional Manifolds Book in PDF, Epub and Kindle
Abstract - we classify the periodic Hamiltonian flows on compact four dimensional symplectic manifolds up to isomorphism of Hamiltonian $S^1$-spaces. Additionally, we show that all these spaces are Kahler, that every such space is obtained from a simple model by a sequence of symplectic blowups, and that if the fixed points are isolated then the space is a toric variety.
An Introduction to Manifolds
Author | : Loring W. Tu |
Publsiher | : Springer Science & Business Media |
Total Pages | : 426 |
Release | : 2010-10-05 |
Genre | : Mathematics |
ISBN | : 9781441974006 |
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Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.
Open Mappings on 2 dimensional Manifolds
Author | : Gordon Thomas Whyburn |
Publsiher | : Unknown |
Total Pages | : 32 |
Release | : 1959 |
Genre | : Manifolds (Mathematics) |
ISBN | : UOM:39015095254184 |
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Proceedings of the Fourth International Colloquium on Differential Equations Plovdiv Bulgaria 18 22 August 1993
Author | : D. Bainov,V. Covachev |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 316 |
Release | : 2020-05-18 |
Genre | : Mathematics |
ISBN | : 9783112318874 |
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No detailed description available for "Proceedings of the Fourth International Colloquium on Differential Equations, Plovdiv, Bulgaria, 18-22 August 1993".
Periodic Hamiltonian Flows on Four Dimensional Manifolds
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Author | : Yael Karshon |
Publsiher | : American Mathematical Society(RI) |
Total Pages | : 87 |
Release | : 2014-09-11 |
Genre | : MATHEMATICS |
ISBN | : 1470402637 |
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This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.