The Resource Central Configurations, Periodic Orbits, and Hamiltonian Systems, by Jaume Llibre, Richard Moeckel, Carles Simó, (electronic resource)
Central Configurations, Periodic Orbits, and Hamiltonian Systems, by Jaume Llibre, Richard Moeckel, Carles Simó, (electronic resource)
Resource Information
The item Central Configurations, Periodic Orbits, and Hamiltonian Systems, by Jaume Llibre, Richard Moeckel, Carles Simó, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Central Configurations, Periodic Orbits, and Hamiltonian Systems, by Jaume Llibre, Richard Moeckel, Carles Simó, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second one, given by Richard Moeckel, focusses on methods for studying Central Configurations. The last one, by Carles Simó, describes the main mechanisms leading to a fairly global description of the dynamics in conservative systems. The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications
 Language
 eng
 Edition
 1st ed. 2015.
 Extent
 VIII, 232 p. 40 illus., 5 illus. in color.
 Contents

 1 The Averaging Theory for Computing Periodic Orbits
 Introduction: the classical theory
 Averaging theory for arbitrary order and dimension
 Three applications of Theorem
 2 Lectures on Central Configurations
 The nbody problem
 Symmetries and integrals
 Central configurations and selfsimilar solutions
 Matrix equations of motion
 Homographic motions of central configurations in Rd
 AlbouyChenciner reduction and relative equilibria in Rd
 Homographic motions in Rd
 Central configurations as critical points
 Collinear central configurations
 Morse indices of noncollinear central configurations
 Morse theory for CC's and SBC's
 Dziobek configurations
 Convex Dziobek central configurations
 Generic finiteness for Dziobek central configurations
 Some open problems
 3 Dynamical Properties of Hamiltonian Systems
 Introduction
 Low dimension
 Some theoretical results, their implementation and practical tools
 Applications to Celestial Mechanics
 Isbn
 9783034809337
 Label
 Central Configurations, Periodic Orbits, and Hamiltonian Systems
 Title
 Central Configurations, Periodic Orbits, and Hamiltonian Systems
 Statement of responsibility
 by Jaume Llibre, Richard Moeckel, Carles Simó
 Language
 eng
 Summary
 The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second one, given by Richard Moeckel, focusses on methods for studying Central Configurations. The last one, by Carles Simó, describes the main mechanisms leading to a fairly global description of the dynamics in conservative systems. The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications
 http://library.link/vocab/creatorName
 Llibre, Jaume
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Moeckel, Richard.
 Simó, Carles.
 SpringerLink (Online service)
 Series statement
 Advanced Courses in Mathematics  CRM Barcelona,
 http://library.link/vocab/subjectName

 Mathematics
 Dynamics
 Ergodic theory
 Differential equations
 Mathematical physics
 Physics
 Label
 Central Configurations, Periodic Orbits, and Hamiltonian Systems, by Jaume Llibre, Richard Moeckel, Carles Simó, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 1 The Averaging Theory for Computing Periodic Orbits  Introduction: the classical theory  Averaging theory for arbitrary order and dimension  Three applications of Theorem  2 Lectures on Central Configurations  The nbody problem  Symmetries and integrals  Central configurations and selfsimilar solutions  Matrix equations of motion  Homographic motions of central configurations in Rd  AlbouyChenciner reduction and relative equilibria in Rd  Homographic motions in Rd  Central configurations as critical points  Collinear central configurations  Morse indices of noncollinear central configurations  Morse theory for CC's and SBC's  Dziobek configurations  Convex Dziobek central configurations  Generic finiteness for Dziobek central configurations  Some open problems  3 Dynamical Properties of Hamiltonian Systems  Introduction  Low dimension  Some theoretical results, their implementation and practical tools  Applications to Celestial Mechanics
 Control code
 9783034809337
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 VIII, 232 p. 40 illus., 5 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783034809337
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783034809337
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086543935
 Label
 Central Configurations, Periodic Orbits, and Hamiltonian Systems, by Jaume Llibre, Richard Moeckel, Carles Simó, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 1 The Averaging Theory for Computing Periodic Orbits  Introduction: the classical theory  Averaging theory for arbitrary order and dimension  Three applications of Theorem  2 Lectures on Central Configurations  The nbody problem  Symmetries and integrals  Central configurations and selfsimilar solutions  Matrix equations of motion  Homographic motions of central configurations in Rd  AlbouyChenciner reduction and relative equilibria in Rd  Homographic motions in Rd  Central configurations as critical points  Collinear central configurations  Morse indices of noncollinear central configurations  Morse theory for CC's and SBC's  Dziobek configurations  Convex Dziobek central configurations  Generic finiteness for Dziobek central configurations  Some open problems  3 Dynamical Properties of Hamiltonian Systems  Introduction  Low dimension  Some theoretical results, their implementation and practical tools  Applications to Celestial Mechanics
 Control code
 9783034809337
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 VIII, 232 p. 40 illus., 5 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783034809337
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783034809337
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086543935
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/CentralConfigurationsPeriodicOrbitsand/_BBrBUQKoBM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/CentralConfigurationsPeriodicOrbitsand/_BBrBUQKoBM/">Central Configurations, Periodic Orbits, and Hamiltonian Systems, by Jaume Llibre, Richard Moeckel, Carles Simó, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>