J4 ›› 2011, Vol. 46 ›› Issue (11): 59-63.

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Aubry-Mather sets for a class of asymmetric Duffing equations

WANG Xiao-ming, LIANG Xiao-bin   

  1. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, Jiangxi, China
  • Received:2010-01-18 Online:2011-11-20 Published:2011-11-30

Abstract:

The existence of Aubry-Mather sets for a class of asymmetric Duffing equations are obtained via the generalized Aubry-Mather theorem, which improves and generalizes the known results.

Key words: Asymmetric Duffing equation; Aubry-Mather sets; unlinked periodic solutions; generalized quasiperiodic solutions

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