Multi-Hamiltonian Theory of Dynamical Systems

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Springer, 1998 - Science - 350 pages
A modern Hamiltonian theory offering a unified treatment of all types of systems (i.e. finite, lattice, and field) is presented. Particular attention is paid to nonlinear systems that have more than one Hamiltonian formulation in a single coordinate system. As this property is closely related to integrability, this book presents an algebraic theory of integrable systems. The book is intended for scientists, lecturers, and students interested in the field.

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Preliminary Considerations
Elements of Differential Calculus for Tensor Fields
The Theory of Hamiltonian and BiHamiltonian Systems

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