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Attracting Heteroclinic Cycles.

  1. Dec 5, 2004 #1
    Hopefully this is a quick questions. I'm trying to describe what an attracting heteroclinic cycle is but not sure really how to describe it or what it means. I have a 3-dimensional population model x(t), y(t), z(t), which has a phase portrait that spirals from one equilibrium point to three other equilibrium points on a plane. I understand that at t go to infinity that the slution curve spends more and more time around each one of the three equilibrium points as it passes by.

    So back to my problem, I'm not sure how to describe this in context of an attracting heteroclinic cycle because I have no idea and can't find a good definition of that a heteroclinic cycle is.

    Thanks for your help.
  2. jcsd
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