应用数学2011,Vol.24Issue(4):659-664,6.
一类超线性Duffing方程的Aubry-Mather集
Aubry-Mather Sets for a Class of Superlinear Duffing Equations
摘要
Abstract
In this paper, by introducing an appropriate action-angle variable transformation and combining with new estimates, the sufficient conditions are obtained on the existence of Aubry-Mather sets to a class of superlinear Duffing equations via generalized Aubry-Math-er theorem on Poincare map of Duffing equations.关键词
Duffing方程/超线性/Aubry-Mather集/无扭周期解Key words
Duff ing equation/ Superlinear/ Aubry-Mather set/ Unlinked periodic solution分类
数理科学引用本文复制引用
汪小明..一类超线性Duffing方程的Aubry-Mather集[J].应用数学,2011,24(4):659-664,6.基金项目
江西省青年自然科学基金资助项目(2009GQS0023),江西省教育厅青年科学基金项目(GJJ11234),上饶师院科研项目(1001) (2009GQS0023)