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Эта публикация цитируется в 140 научных статьях (всего в 140 статьях)
Invariant Tori in Non-Degenerate Nearly Integrable Hamiltonian Systems
H. Rüssmann Fachbereich Mathematik,
Universität Mainz,
55099 Mainz, Germany
Аннотация:
Invariant tori for analytic nearly integrable Hamiltonian systems are constructed under rather weak sufficient conditions being even necessary in the case of maximal invariant tori. All small devisors are controlled by a general approximation function the properties of which correspond to the Bruno condition in analytic problems near a singular point. The admitted size of the perturbations is numerically determined in numerically given systems.
Поступила в редакцию: 10.03.2001
Образец цитирования:
H. Rüssmann, “Invariant Tori in Non-Degenerate Nearly Integrable Hamiltonian Systems”, Regul. Chaotic Dyn., 6:2 (2001), 119–204
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd837 https://www.mathnet.ru/rus/rcd/v6/i2/p119
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