Poisson structures and Lie algebras in Hamiltonian mechanics
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The book is devoted to one of the current trends in modern theoretical physics - Poisson structures and their applications to various problems of Hamiltonian mechanics. These problems arise in solid-state dynamics, celestial mechanics, vortex theory, cosmological models. Nonlinear Poisson structures determined by infinite-dimensional Lie algebras are also discussed, the most typical cases of their occurrence are indicated. New cases of integrability of equations of dynamics and isomorphisms between various integrable problems are indicated. Designed for specialists in mechanics and mathematics, dealing with the theory of dynamical systems, undergraduate and postgraduate universities . Screenshots
LF/493744685/R
Data sheet
- Name of the Author
- Борисов А.В.
Мамаев И.С. - Language
- Russian
- ISBN
- 9785702903293
- Release date
- 1999
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The book is devoted to one of the current trends in modern theoretical physics - Poisson structures and their applications to various problems of Hamiltonian me...