Introduction to Hamiltonian dynamical systems and the Nbody problem
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The work Introduction to Hamiltonian dynamical systems and the Nbody problem represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Introduction to Hamiltonian dynamical systems and the Nbody problem
Resource Information
The work Introduction to Hamiltonian dynamical systems and the Nbody problem represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Introduction to Hamiltonian dynamical systems and the Nbody problem
 Statement of responsibility
 Kenneth R. Meyer, Glen R. Hall, Dan Offin
 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 PoincarĂ©'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 Nbody problem and various specialized problems like the restricted threebody problem. The theory of the Nbody 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
 Cataloging source
 GW5XE
 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
 Series statement
 Applied mathematical sciences
 Series volume
 v. 90
Context
Context of Introduction to Hamiltonian dynamical systems and the Nbody problemWork of
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