Aubry–Mather Sets for Relativistic Oscillators with Anharmonic Potentials  

作　　者：Guang Hua SHI 

机构地区：[1]College of Mathematics and Computer Science, Hu'nan Normal University, Hu'nan 410006, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2017年第3期439-448,共10页数学学报（英文版）

基　　金：Supported by the NNSF(Grant No.11371132);Key Laboratory of High Performance Computing and Stochastic Information Processing

摘　　要：In this paper, by the Aubry-Mather theory, it is proved that there are many periodic solutions and usual or generalized quasiperiodic solutions for relativistic oscillator with anharmonic potentials models d/dt（x/√1-｜x｜2）＋｜x｜^α-1x=p（t）,where p（t） ∈ C0（R1） is 1-periodic and α 〉 0.In this paper, by the Aubry-Mather theory, it is proved that there are many periodic solutions and usual or generalized quasiperiodic solutions for relativistic oscillator with anharmonic potentials models d/dt（x/√1-｜x｜2）＋｜x｜^α-1x=p（t）,where p（t） ∈ C0（R1） is 1-periodic and α 〉 0.

关 键 词：Aubry-Mather sets QUASIPERIODIC RELATIVISTIC 

分 类 号：O175[理学—数学]