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)

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
Creator
Contributor
Author
Provider
Subject
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
Member of
http://library.link/vocab/creatorName
Llibre, Jaume
Image bit depth
0
LC call number
QA372
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Moeckel, Richard
  • Simó i Torres, Carles
  • SpringerLink
Series statement
Advanced Courses in Mathematics - CRM Barcelona,
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • Differential equations
  • Mathematical physics
  • Physics
  • Mathematics
  • Ordinary Differential Equations
  • Dynamical Systems and Ergodic Theory
  • Mathematical Applications in the Physical Sciences
  • Mathematical Methods in Physics
Label
Central Configurations, Periodic Orbits, and Hamiltonian Systems, by Jaume Llibre, Richard Moeckel, Carles Simó, (electronic resource)
Instantiates
Publication
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 n-body problem -- Symmetries and integrals -- Central configurations and self-similar solutions -- Matrix equations of motion -- Homographic motions of central configurations in Rd -- Albouy-Chenciner reduction and relative equilibria in Rd -- Homographic motions in Rd -- Central configurations as critical points -- Collinear central configurations -- Morse indices of non-collinear 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
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
Isbn
9783034809337
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-0348-0933-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-0348-0933-7
Label
Central Configurations, Periodic Orbits, and Hamiltonian Systems, by Jaume Llibre, Richard Moeckel, Carles Simó, (electronic resource)
Publication
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 n-body problem -- Symmetries and integrals -- Central configurations and self-similar solutions -- Matrix equations of motion -- Homographic motions of central configurations in Rd -- Albouy-Chenciner reduction and relative equilibria in Rd -- Homographic motions in Rd -- Central configurations as critical points -- Collinear central configurations -- Morse indices of non-collinear 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
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
Isbn
9783034809337
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-0348-0933-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-0348-0933-7

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