Abstract:Abstract Symplectic maps are the discrete analog of Hamiltonian dynamical systems. They are used to model dynamics when there is no friction or dissipation of energy. The fixed-time map of a Hamiltoni...Abstract Symplectic maps are the discrete analog of Hamiltonian dynamical systems. They are used to model dynamics when there is no friction or dissipation of energy. The fixed-time map of a Hamiltonian flow is a symplectic map. Symplectic maps are volume preserving, and preserve a symplectic structure. Symplectic structures are defined in terms of differential forms. The reader will find a brief discussion of tensors, differential forms, and manifolds in Appendix C. Symplectic manifolds are discussed in Appendix D.Read More
Publication Year: 1998
Publication Date: 1998-02-26
Language: en
Type: book-chapter
Indexed In: ['crossref']
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