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Invariant tori and Lagrange stability of pendulum-type equations

✍ Scribed by Jiangong You


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
469 KB
Volume
85
Category
Article
ISSN
0022-0396

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Destruction of Invariant Tori in Pendulu
✍ Hai Huang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 354 KB

In this paper we prove that if there exists an invariant torus with the rotation number (1, |) in the pendulum-type equation x =Q 0 x (t, x) for a given potential Q 0 =Q 0 (t, x) # C (T 2 ), and | is a Liouville number, then for any neighborhood N(Q 0 ) of Q 0 in the C topology, there exists a poten