• Title of article

    The existence and stability of spike equilibria in the one-dimensional Gray–Scott model on a finite domain Original Research Article

  • Author/Authors

    Theodore Kolokolnikov، نويسنده , , Michael J. Ward ، نويسنده , , Juncheng Wei، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    6
  • From page
    951
  • To page
    956
  • Abstract
    Results for the existence, stability, and pulse-splitting behavior of spike patterns in the one-dimensional Gray–Scott model on a finite domain in the semi-strong spike interaction regime are summarized. Conditions on the parameters for the existence of competition instabilities, synchronous oscillatory instabilities, or pulse-splitting behavior of spike patterns are given.
  • Keywords
    Spike patterns , Nonlocal eigenvalue problem , Oscillatory instability , Pulse-splitting
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2005
  • Journal title
    Applied Mathematics Letters
  • Record number

    898004