A second level of ‘interestingness’ and a more minimal non-monotonic transfer function

The following is a follow-up to my transfer function post a couple of days ago. Two persons have suggested using a simpler non-monotonic function such as the Gaussian. I will incorporate results with that transfer function. Also, I will add one more category to my previous minimalistic categorizationof asymptotic dynamics: point attractors versus other dynamics. I am now including periodic orbits. Still very minimalistic.