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.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Attracting Heteroclinic Cycles.

Can you offer guidance or do you also need help?

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