• Title of article

    Rotation number of the overdamped Frenkel–Kontorova model with ac-driving

  • Author/Authors

    Hu، نويسنده , , Bambi and Qin، نويسنده , , Wen-Xin and Zheng، نويسنده , , Zhigang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    19
  • From page
    172
  • To page
    190
  • Abstract
    The dynamical behavior of the overdamped and overdamped limit cases of the Frenkel–Kontorova model with ac-driving is studied. The relationship is established between the average velocity of the particles and the rotation number of the orientation preserving homeomorphism on the circle induced from the Poincaré map. The dynamical behavior for both cases is determined completely by the rotation number. Numerical results are also provided for the second order system to support the theoretical conclusions.
  • Keywords
    Overdamped Frenkel–Kontorova model , Average velocity , Orientation preserving homeomorphism , Rotation number , mode-locking
  • Journal title
    Physica D Nonlinear Phenomena
  • Serial Year
    2005
  • Journal title
    Physica D Nonlinear Phenomena
  • Record number

    1726211