Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource Dynamical properties of diffeomorphisms of the annulus and of the torus, Patrice Le Calvez ; translated by Philippe Mazaud
Dynamical properties of diffeomorphisms of the annulus and of the torus, Patrice Le Calvez ; translated by Philippe Mazaud
Resource Information
The item Dynamical properties of diffeomorphisms of the annulus and of the torus, Patrice Le Calvez ; translated by Philippe Mazaud represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Dynamical properties of diffeomorphisms of the annulus and of the torus, Patrice Le Calvez ; translated by Philippe Mazaud represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary

 "The first chapter of this monograph presents a survey of the theory of monotone twist maps of the annulus. First, the author covers the conservative case by presenting a short survey of AubryMather theory and Birkhoff theory, followed by some criteria for existence of periodic orbits without the areapreservation property. These are applied in the areadecreasing case, and the properties of Birkhoff attractors are discussed. A diffeomorphism of the closed annulus which is isotopic to the identity can be written as the composition of monotone twist maps."
 "The second chapter generalizes some aspects of AubryMather theory to such maps and presents a version of the PoincareBirkhoff theorem in which the periodic orbits have the same braid type as in the linear case. A diffeomorphism of the torus isotopic to the identity is also a composition of twist maps, and it is possible to obtain a proof of the ConleyZehnder theorem with the same kind of conclusions about the braid type, in the case of periodic orbits. This results leads to an equivariant version of the Brouwer translation theorem which permits new proofs of some results about the rotation set of diffeomorphisms of the torus."Jacket
 Language

 eng
 fre
 eng
 Extent
 ix, 105 pages
 Contents

 1.4.
 Topological study of areapreserving twist maps: Birkhoff's theory.
 1.5.
 The general case of twist diffeomorphisms.
 1.6.
 A study of the dissipative case: Birkhoff attractors
 Ch. 2.
 Generating Phases of the Diffeomorphisms of the Torus and the Annulus.
 2.1.
 Presentation of the results.
 Ch. 1.
 2.2.
 Composition of twist diffeomorphisms of the plane.
 2.3.
 Existence of orbits with trivial braid type for conservative diffeomorphisms of the annulus
 Presentation and Comparison of the Different Approaches to the Theory of Monotone Twist Diffeomorphisms of the Annulus.
 1.1.
 Examples.
 1.2.
 Definitions and notation: twist maps, rotation numbers.
 1.3.
 Variational study of areapreserving twist diffeomorphisms: the AubryMather theory.
 Isbn
 9780821819432
 Label
 Dynamical properties of diffeomorphisms of the annulus and of the torus
 Title
 Dynamical properties of diffeomorphisms of the annulus and of the torus
 Statement of responsibility
 Patrice Le Calvez ; translated by Philippe Mazaud
 Subject

 Diffeomorphisms
 Diffeomorphisms
 Diffeomorphismus
 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems
 Kreisring
 Mappings (Mathematics)
 Mappings (Mathematics)
 Mappings (Mathematics)
 Mappings (Mathematics)
 Torus
 Diffeomorphisms
 Diffeomorphisms
 Language

 eng
 fre
 eng
 Summary

 "The first chapter of this monograph presents a survey of the theory of monotone twist maps of the annulus. First, the author covers the conservative case by presenting a short survey of AubryMather theory and Birkhoff theory, followed by some criteria for existence of periodic orbits without the areapreservation property. These are applied in the areadecreasing case, and the properties of Birkhoff attractors are discussed. A diffeomorphism of the closed annulus which is isotopic to the identity can be written as the composition of monotone twist maps."
 "The second chapter generalizes some aspects of AubryMather theory to such maps and presents a version of the PoincareBirkhoff theorem in which the periodic orbits have the same braid type as in the linear case. A diffeomorphism of the torus isotopic to the identity is also a composition of twist maps, and it is possible to obtain a proof of the ConleyZehnder theorem with the same kind of conclusions about the braid type, in the case of periodic orbits. This results leads to an equivariant version of the Brouwer translation theorem which permits new proofs of some results about the rotation set of diffeomorphisms of the torus."Jacket
 Cataloging source
 DLC
 http://library.link/vocab/creatorName
 Le Calvez, Patrice
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA613.65
 LC item number
 .L4213 2000
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/subjectName

 Diffeomorphisms
 Differentiable dynamical systems
 Mappings (Mathematics)
 Diffeomorphisms
 Differentiable dynamical systems
 Mappings (Mathematics)
 Torus
 Diffeomorphismus
 Kreisring
 Label
 Dynamical properties of diffeomorphisms of the annulus and of the torus, Patrice Le Calvez ; translated by Philippe Mazaud
 Bibliography note
 Includes bibliographical references (p 101105) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 1.4.
 Topological study of areapreserving twist maps: Birkhoff's theory.
 1.5.
 The general case of twist diffeomorphisms.
 1.6.
 A study of the dissipative case: Birkhoff attractors
 Ch. 2.
 Generating Phases of the Diffeomorphisms of the Torus and the Annulus.
 2.1.
 Presentation of the results.
 Ch. 1.
 2.2.
 Composition of twist diffeomorphisms of the plane.
 2.3.
 Existence of orbits with trivial braid type for conservative diffeomorphisms of the annulus
 Presentation and Comparison of the Different Approaches to the Theory of Monotone Twist Diffeomorphisms of the Annulus.
 1.1.
 Examples.
 1.2.
 Definitions and notation: twist maps, rotation numbers.
 1.3.
 Variational study of areapreserving twist diffeomorphisms: the AubryMather theory.
 Dimensions
 25 cm.
 Extent
 ix, 105 pages
 Isbn
 9780821819432
 Lccn
 99087060
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number

 (OCoLC)43076813
 (OCoLC)ocm43076813
 Label
 Dynamical properties of diffeomorphisms of the annulus and of the torus, Patrice Le Calvez ; translated by Philippe Mazaud
 Bibliography note
 Includes bibliographical references (p 101105) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 1.4.
 Topological study of areapreserving twist maps: Birkhoff's theory.
 1.5.
 The general case of twist diffeomorphisms.
 1.6.
 A study of the dissipative case: Birkhoff attractors
 Ch. 2.
 Generating Phases of the Diffeomorphisms of the Torus and the Annulus.
 2.1.
 Presentation of the results.
 Ch. 1.
 2.2.
 Composition of twist diffeomorphisms of the plane.
 2.3.
 Existence of orbits with trivial braid type for conservative diffeomorphisms of the annulus
 Presentation and Comparison of the Different Approaches to the Theory of Monotone Twist Diffeomorphisms of the Annulus.
 1.1.
 Examples.
 1.2.
 Definitions and notation: twist maps, rotation numbers.
 1.3.
 Variational study of areapreserving twist diffeomorphisms: the AubryMather theory.
 Dimensions
 25 cm.
 Extent
 ix, 105 pages
 Isbn
 9780821819432
 Lccn
 99087060
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number

 (OCoLC)43076813
 (OCoLC)ocm43076813
Subject
 Diffeomorphisms
 Diffeomorphisms
 Diffeomorphismus
 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems
 Differentiable dynamical systems
 Kreisring
 Mappings (Mathematics)
 Mappings (Mathematics)
 Mappings (Mathematics)
 Mappings (Mathematics)
 Torus
 Diffeomorphisms
 Diffeomorphisms
Member of
 SMF/AMS texts and monographs, v. 4
 Propriétés dynamiques des difféomorphismes de l'anneau et du tore
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/Dynamicalpropertiesofdiffeomorphismsofthe/AysINr3_PfI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Dynamicalpropertiesofdiffeomorphismsofthe/AysINr3_PfI/">Dynamical properties of diffeomorphisms of the annulus and of the torus, Patrice Le Calvez ; translated by Philippe Mazaud</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Dynamical properties of diffeomorphisms of the annulus and of the torus, Patrice Le Calvez ; translated by Philippe Mazaud
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/Dynamicalpropertiesofdiffeomorphismsofthe/AysINr3_PfI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Dynamicalpropertiesofdiffeomorphismsofthe/AysINr3_PfI/">Dynamical properties of diffeomorphisms of the annulus and of the torus, Patrice Le Calvez ; translated by Philippe Mazaud</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>