Generalized Fitz-Hugh Nagomo model of an axon.
Procedural generation of iterated fractals and fictional maps. Parameter tuning via artificial selection.
Predator-prey dynamics with spatial effects (and possibly handling time). Comparison of discrete and continuous cases.
The genetics of an organism define only specific proteins and a control flow on them. Yet this suffices to determine the form and function of an entire organism, owing to the richness of reaction-diffusion dynamics in the developing embryo.
We see also surprisingly rich dynamics in biological populations, which persist only under certain constraints (which, of course, most extant communities satisfy).
That which applies to populations of other species applies also to humans, with the added complication of a very rapid and flexible process of memetic evolution.
Just as the unit of biologically transmissible information is the gene (existing in a context of promoters, inhibitors, etc.), so the unit of socially transmissible information is termed the meme (existing in a context of norms, technology, etc.).