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- W94088999 abstract "Publisher Summary This chapter describes the ideas and the main results of a new theory referred to as the “Symplectic Topology of Integrable Hamitonian Systems.” This theory gives a topological classification of integrable Hamiltonian systems as well as bifurcations of Liouville tori on critical levels of the Hamiltonian. The theory also consists of a new Morse-type theory of smooth integrals of the integrable Hamilton systems on the isoenergetic surfaces of integrable systems, the construction of a new topological invariant of integrable Hamilton systems on three-dimensional isoenergy surfaces, new topological obstructions to the integrability of smooth Hamiltonian systems, the topological classification of stable topologically equivalent integrable Hamiltonian systems on irreducible and sufficiently large three-dimensional isoenergy surfaces, and much more." @default.
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- W94088999 date "1991-01-01" @default.
- W94088999 modified "2023-09-27" @default.
- W94088999 title "A NEW TOPOLOGICAL INVARIANT OF TOPOLOGICAL HAMILTONIAN SYSTEMS OF DIFFERENTIAL EQUATIONS AND APPLICATIONS TO PROBLEMS IN PHYSICS AND MECHANICS" @default.
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- W94088999 doi "https://doi.org/10.1016/b978-0-444-88958-4.50009-4" @default.
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