东北数学（英文版）
東北數學（英文版）
동북수학（영문판）
NORTHEASTERN MATHEMATICAL JOURNAL
2005年
4期
447-464
,共18页
柳振鑫%伊贺达赉%黄庆道
柳振鑫%伊賀達賚%黃慶道
류진흠%이하체뢰%황경도
hyperbolic invariant tori%KAM theorem%generalized Hamiltonian system
In this paper we prove the persistence of hyperbolic invariant tori in generalized Hamiltonian systems, which may admit a distinct number of action and angle variables. The systems under consideration can be odd dimensional in tangent direction. Our results generalize the well-known results of Graff and Zehnder in standard Hamiltonians. In our case the unperturbed Hamiltonian systems may be degenerate. We also consider the persistence problem of hyperbolic tori on submanifolds.
