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Persistence of elliptic invariant tori for Hamiltonian systems

โœ Scribed by Huang Qingdao; Cong Fuzhong; Li Yong


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
158 KB
Volume
45
Category
Article
ISSN
0362-546X

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Invariant tori for semilinear reversible
โœ Xiong Li ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

In this paper we consider the problem of the boundedness of all solutions for the oscillator where ! ยฟ 0 and ! โˆˆ N , g(x) is bounded and p(t) = p(t + 2 ). Since the system in general is non-Hamiltonian, we have to introduce reversibility assumptions to apply the twist theorem for reversible maps. U