ON TYPICAL TOPOLOGICAL PROPERTIES OF INTEGRABLE HAMILTONIAN SYSTEMS
1989; IOP Publishing; Volume: 32; Issue: 2 Linguagem: Inglês
10.1070/im1989v032n02abeh000772
ISSN2169-5075
Autores Tópico(s)Advanced Differential Equations and Dynamical Systems
ResumoThe properties of integrable Hamiltonian systems in general position are described, along with the topology of constant-energy surfaces of such systems. It is proved that in the typical case all stable periodic solutions of the system are not contractible and are pairwise not homotopic. Bibliography: 25 titles.
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