Yeah so after hearing about crawling a bunch of times up here in MBL it seems clear that heteroclinic like orbits are more closely related to how CPGs work. This is in contrast to the Shilnikov style of doing CPGs, as they rely on intrinsic dynamics and pacemaker neurons -- effectively making CPGs out of coupled oscillators. The heteroclinic orbits don't require coupled oscillators and have the nice properties of being able to hold up the period in certain places like real CPGs. Plus, if you looked at a single CPG neuron that was part of a heteroclinic orbit, then you wouldn't see any intrinsic oscillatory dynamics. This seems to be the case most of the time for neurons.
So the question is how to make arbitrary types of heteroclinic orbits with neural-like models. There would have to be some population that begins to turn on and starts off as an attractor through some kind of recurrent feedback. But once the population turned on enough it acts like a source and the dynamics flow towards the next population. Each population would be a fixed point, but as you approach from one direction its attractive, and then it sends you off in another direction. But how to make this type of system is the question.
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