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.
- ISBN10 1281920037
- ISBN13 9781281920034
- Publish Date 1 January 2009 (first published January 1992)
- Publish Status Active
- Out of Print 25 March 2015
- Publish Country US
- Imprint Springer New York
- Edition 2nd Revised ed.
- Format eBook
- Pages 399
- Language English