• Title of article

    The complicated trajectory behaviors in the Lorenz equation

  • Author/Authors

    Tianshou Zhou، نويسنده , , Yun Tang، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2004
  • Pages
    11
  • From page
    863
  • To page
    873
  • Abstract
    In this paper, trajectories of the Lorenz equation are analyzed in details. In particular, it is rigorously proved that all nontrivial trajectories travel through two special Poincaré projections with infinitely many times. The result would describe the structure of the Lorenz attractor from a lateral aspect.
  • Journal title
    Chaos, Solitons and Fractals
  • Serial Year
    2004
  • Journal title
    Chaos, Solitons and Fractals
  • Record number

    900612