Qian Dingbian.MATHER SETS FOR SUBLINEAR DUFFING EQUATIONS[J].Chinese Annals of Mathematics B,1994,15(4):421~434
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Authors:
Qian Dingbian;
Abstract:
The existence of Mather sets (generalized
quasiperiodic solutions and unlinked periodic solutions) for sublinear
Duffing equations is shown. Here the approach is based on the use of
action-angle variables and the application of a generalized version of
Aubry-Mather theorem on semi-cylinder with finite twist assumption.