Coverart for item
The Resource Introduction to Hamiltonian dynamical systems and the N-body problem, Kenneth R. Meyer, Glen R. Hall, Dan Offin

Introduction to Hamiltonian dynamical systems and the N-body problem, Kenneth R. Meyer, Glen R. Hall, Dan Offin

Label
Introduction to Hamiltonian dynamical systems and the N-body problem
Title
Introduction to Hamiltonian dynamical systems and the N-body problem
Statement of responsibility
Kenneth R. Meyer, Glen R. Hall, Dan Offin
Creator
Contributor
Subject
Language
eng
Summary
This text grew out of graduate level courses in mathematics, engineering and physics given at several universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. Topics covered include a detailed discussion of linear Hamiltonian systems, an introduction to variational calculus and the Maslov index, the basics of the symplectic group, an introduction to reduction, applications of Poincaré's continuation to periodic solutions, the use of normal forms, applications of fixed point theorems and KAM theory. There is a special chapter devoted to finding symmetric periodic solutions by calculus of variations methods. The main examples treated in this text are the N-body problem and various specialized problems like the restricted three-body problem. The theory of the N-body problem is used to illustrate the general theory. Some of the topics covered are the classical integrals and reduction, central configurations, the existence of periodic solutions by continuation and variational methods, stability and instability of the Lagrange triangular point. Ken Meyer is an emeritus professor at the University of Cincinnati, Glen Hall is an associate professor at Boston University, and Dan Offin is a professor at Queen's University
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1937-
http://library.link/vocab/creatorName
Meyer, Kenneth R.
Dewey number
515/.39
Illustrations
illustrations
Index
index present
LC call number
QA1
LC item number
.A647 v.90, 2009eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1953-
http://library.link/vocab/relatedWorkOrContributorName
  • Hall, Glen R
  • Offin, Daniel C.
Series statement
Applied mathematical sciences
Series volume
v. 90
http://library.link/vocab/subjectName
  • Hamiltonian systems
  • Many-body problem
  • MATHEMATICS
  • Hamiltonian systems
  • Many-body problem
  • Hamiltonian systems
  • Many-body problem
Label
Introduction to Hamiltonian dynamical systems and the N-body problem, Kenneth R. Meyer, Glen R. Hall, Dan Offin
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 389-396) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Hamiltonian systems -- Equations of celestal mechanics -- Linear Hamiltonian systems -- Topics in linear theory -- Exterior algebra and differential forms -- Symplectic transformations -- Special coordinates -- Geometric theory -- Continuation of solutions -- Normal forms -- Bifurcations of periodic orbits -- Variational techniques -- Stability and KAM theory -- Twist maps and invariant circle
Control code
314175938
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xiii, 399 pages)
Form of item
online
Isbn
9780387097244
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-09723-7
Specific material designation
remote
System control number
(OCoLC)314175938
Label
Introduction to Hamiltonian dynamical systems and the N-body problem, Kenneth R. Meyer, Glen R. Hall, Dan Offin
Publication
Bibliography note
Includes bibliographical references (pages 389-396) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Hamiltonian systems -- Equations of celestal mechanics -- Linear Hamiltonian systems -- Topics in linear theory -- Exterior algebra and differential forms -- Symplectic transformations -- Special coordinates -- Geometric theory -- Continuation of solutions -- Normal forms -- Bifurcations of periodic orbits -- Variational techniques -- Stability and KAM theory -- Twist maps and invariant circle
Control code
314175938
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xiii, 399 pages)
Form of item
online
Isbn
9780387097244
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-09723-7
Specific material designation
remote
System control number
(OCoLC)314175938

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