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...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.展开更多
基金Supported by the NNSF(Grant No.11371132)Key Laboratory of High Performance Computing and Stochastic Information Processing
文摘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.
