Morse theoretic methods in nonlinear analysis and in symplectic topology : [proceedings of the NATO Advanced Study Institute on morse theoretic methods in nonlinear analysis and symplectic topology, Montreal, Canada, July 2004]

The papers collected in this volume are contributions to the 43rd session of the Seminaire de mathematiques superieures (SMS) on Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology. This session took place at the Universite de Montreal in July 2004 and was a NATO Advanced Study Ins...

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সংস্থা লেখক: NATO Advanced Study Institute on Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology :Montréal, Québec
অন্যান্য লেখক: Biran, Paul Ian, 1969- (Publishing director), Cornea, Octavian, 1966-...., mathématicien (Publishing director), Lalonde, François, 1955-...., mathématicien (Publishing director)
বিন্যাস: Livre numérique
ভাষা:Anglais
প্রকাশিত: Dordrecht : Springer Netherlands 2006.
সংস্করন:1st ed. 2006.
মালা:NATO Science Series II: Mathematics, Physics and Chemistry, Mathematics, Physics and Chemistry 217
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টীকা: L'impression du document génère 476 p.
Description d'après consultation du 13 avril 2011
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Numérisation de l'édition de Dordrecht : Springer, 2006
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Variante du titre:Proceedings of the NATO Advanced Study Institute on Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology, held in Montreal, Canada, from 21 June to 2 July 2004
Edition sous un autre format:• Morse theoretic methods in nonlinear analysis and in symplectic topology, [proceedings of the NATO Advanced Study Institute on Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology, Montreal, Canada, July 2004], edited by Paul Biran,... Octav Cornea,... and François Lalonde,..., 2006, Dordrecht, Springer, 1 vol. (XIV-462 p.), NATO science series, 1-4020-4272-8
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504 |a Bibliogr. en fin de chapitre. Index 
505 1 |a Preface.Contributors. Lectures on the Morse Complex for Infinite-Dimensional Manifolds.-1. A few facts from hyperbolic dynamics.-1.1 Adapted norms .-1.2 Linear stable and unstable spaces of an asymptotically hyperbolic path.-1.3 Morse vector fields 1.4 Local dynamics near a hyperbolic rest point ; 1.5 Local stable and unstable manifolds 1.6 The Grobman Hartman linearization theorem.-1.7 Global stable and unstable manifolds 2 The Morse complex in the case of finite Morse indices 2.1 The Palais Smale condition.-2.2 The Morse Smale condition .-2.3 The assumptions 2.4 Forward compactness 2.5 Consequences of compactness and transversality 2.6 Cellular filtrations 2.7 The Morse complex 2.8 Representation of 
520 |a The papers collected in this volume are contributions to the 43rd session of the Seminaire de mathematiques superieures (SMS) on Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology. This session took place at the Universite de Montreal in July 2004 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together young researchers from various parts of the world and to present to them some of the most signi cant recent advances in these areas. More than 77 mathematicians from 17 countries followed the 12 series of lectures and participated in the lively exchange of ideas. The lectures covered an ample spectrum of subjects which are re ected in the present volume: Morse theory and related techniques in in nite dim- sional spaces, Floer theory and its recent extensions and generalizations, Morse and Floer theory in relation to string topology, generating functions, structure of the group of Hamiltonian di?eomorphisms and related dynamical problems, applications to robotics and many others. We thank all our main speakers for their stimulating lectures and all p- ticipants for creating a friendly atmosphere during the meeting. We also thank Ms. Diane Belanger , our administrative assistant, for her help with the organi- tion and Mr. Andre Montpetit, our technical editor, for his help in the preparation of the volume 
538 |a Nécessite un lecteur de fichier PDF 
650 |a Topologie symplectique et de contact 
650 |a Théorie de Morse 
650 |a Systèmes non linéaires 
650 |a Actes de congrès 
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700 1 |a Cornea, Octavian,  |d 1966-....,  |c mathématicien.  |4 pbd 
700 1 |a Lalonde, François,  |d 1955-....,  |c mathématicien.  |4 pbd 
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