On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
On the Normal Behaviour of Partially Elliptic Lower Dimensional Tori of Hamiltonian Systems
The purpose of this paper is to study the dynamics near a reducible lower dimen sional invariant tori of a nite dimensional autonomous Hamiltonian system with degrees of freedom We will focus in the case in which the torus has some elliptic directions First let us assume that the torus is totally elliptic In this case it is shown that the di usion time the time to move away from the torus is ex...
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Chow, Li and Yi in [2] proved that the majority of the unperturbed tori on submanifolds will persist for standard Hamiltonian systems. Motivated by their work, in this paper, we study the persistence and tangent frequencies preservation of lower dimensional invariant tori on smooth sub-manifolds for real analytic, nearly integrable Hamiltonian systems. The surviving tori might be elliptic, hype...
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The work is a generalization to [40] in which we study the persistence of lower dimensional tori of general type in Hamiltonian systems of general normal forms. By introducing a modified linear KAM iterative scheme to deal with small divisors, we shall prove a persistence result, under a Melnikov type of non-resonance condition, which particularly allows multiple and degenerate normal frequenci...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 1997
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/10/4/001