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

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  • Yanling Shi
  • Jia Li

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 .

Suggested Citation

  • Yanling Shi & Jia Li, 2011. "The Lagrangian Stability for a Class of Second-Order Quasi-Periodic Reversible Systems," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-8, November.
    • Handle: RePEc:hin:jnlaaa:489148
    DOI: 10.1155/2011/489148
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