Fixed points

Discussion in 'Math' started by switchfoot, Oct 15, 2005.

  1. switchfoot

    Thread Starter New Member

    May 14, 2005
    9
    0
    HI, how do u show that this system only has one fixed point?

    dx/dt = x - y - 1/2 x^3 - 1/2 x y^2
    dy/dt = x - 1/2 y x^2 - 1/2 y^3

    There's probably some really simple answer but it's killing me!

    Thanks
     
  2. haditya

    Senior Member

    Jan 19, 2004
    220
    0
    wat do u mean by fixed point? do u mean stationary points?
     
  3. switchfoot

    Thread Starter New Member

    May 14, 2005
    9
    0
    Yup, stationary points. Points for dx/dt and dy/dt are zero.



     
  4. haditya

    Senior Member

    Jan 19, 2004
    220
    0
    any other data gicen..any expression of x or y as a function of t
    ??
     
  5. switchfoot

    Thread Starter New Member

    May 14, 2005
    9
    0
    NOpe. That's it...



     
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