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Integrable Hamiltonian systems: geometry, topology, classification

✍ Scribed by A.V. Bolsinov, A.T. Fomenko

Publisher
Chapman & Hall/CRC
Year
2004
Tongue
English
Leaves
724
Edition
1
Category
Library
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πŸ“œ SIMILAR VOLUMES

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πŸ“ Symplectic geometry of integrable Hamiltonian systems
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Among all the Hamiltonian systems, the alics integrable ones - those which have many conserved quantities - have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact th

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✍ Lerman, Lev M.; Umanskiy, Ya. L πŸ“‚ Library πŸ“… 1998 πŸ› American Mathematical Society 🌐 English

The main topic of this book is the isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group ${\mathbb R}^2$. This is a first step towards understanding the global dyn