• Title of article

    Necessary and Sufficient Condition for Lorenz Knots to be Closed Under Satellite Construction

  • Author/Authors

    E.A El-rifai، نويسنده ,

  • Issue Information
    ماهنامه با شماره پیاپی سال 1999
  • Pages
    10
  • From page
    137
  • To page
    146
  • Abstract
    Lorenz knots and links are the periodic orbits of a certain system of differnetial equations in R3. In this work, we give the necessary and sufficient condition for Lorenz knots to be closed under satellite construction. We prove precisely that the only possible satellites of a Lorenz knot are parallels with possible twists.
  • Journal title
    Chaos, Solitons and Fractals
  • Serial Year
    1999
  • Journal title
    Chaos, Solitons and Fractals
  • Record number

    899121