Introduction to Hamiltonian dynamical systems and the N-body problem
著者
書誌事項
Introduction to Hamiltonian dynamical systems and the N-body problem
（Applied mathematical sciences, v. 90）
Springer-Verlag, c1992
- : us
- : gw
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注記
Bibliography: p. 279-287
Includes index
内容説明・目次
- 巻冊次
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: us ISBN 9780387976372
内容説明
This text grew out of notes from a graduate course taught to students in mathematics and mechanical engineering. The goal was to take students who had some basic knowledge of differential equations and lead them through a systematic grounding in the theory of Hamiltonian systems, an introduction to the theory of integrals and reduction. PoincarA(c)a (TM)s continuation of periodic solution, normal forms, and applications of KAM theory. There is a special chapter devoted to the theory of twist maps and various extensions of the classic PoincarA(c)-Birkhoff fixed point theorem.
- 巻冊次
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: gw ISBN 9783540976370
内容説明
This book gives a systematic grounding in the theory of Hamiltonian differential equations from a dynamical systems point of view. It develops a solid foundation for students to read some of the current research on Hamiltonian systems. Topics covered include a detailed discussion of linear Hamiltonian systems, an introduction to the theory of integrals and reduction, Poincare's continuation of periodic solution, normal forms and applications of KAM theory. A chapter is devoted to the theory of twist maps and various extensions of the classic Poincare-Birkhoff fixed point theorem.
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