Invariant Tori of Asymmetric Duffing Equations
Abstract：We prove the existence of invariant tori and thus the boundedness of all solutions and the existence of quasiperiodic solutions for a class of Duffing equation (x¨)+g(x)=e(t). where e(t) is of period 1,and g:R→R prossesses the characters : g(x) is sublinear when x≥d0,d0 is a positive constant and g(x) is semilinear when x≤-d0.
Keywords：Quasiperiodic solutionsDuffing equationsMoser's small twist theorem
Publication Date：2008-01-01
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：6( 36-40,80 )