The Lagrangian Stability for a Class of Second-Order Quasi-Periodic Reversible Systems

Yanling Shi and Jia Li

Abstract and Applied Analysis, 2011, vol. 2011, 1-8

Abstract:

We study the following two-order differential equation, where , . and are real analytic functions in and , periodic in , and quasi-periodic in with frequencies . Under some odd-even property of and , we obtain the existence of invariant curves for the above equations by a variant of small twist theorem. Then all solutions for the above equations are bounded in the sense of .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:489148

DOI: 10.1155/2011/489148

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