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Boundedness of solutions and existence of invariant tori for generalized pendulum type equation

โœ Scribed by Hai Huang; Rong Yuan

Publisher
Springer
Year
1997
Tongue
English
Weight
165 KB
Volume
42
Category
Article
ISSN
1001-6538

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๐Ÿ“œ SIMILAR VOLUMES

Destruction of Invariant Tori in Pendulu
Destruction of Invariant Tori in Pendulum-Type Equations
โœ Hai Huang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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