Destruction of Invariant Tori in Pendulu
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Hai Huang
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Article
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1998
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Elsevier Science
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English
โ 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