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 ...
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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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