Compound hyper-exponential is only in complex human systems. Fundamental constraint is system stability. Two parameter feedback system. In complex systems, stability must be measure in each of the input variables. If human systems do not stop the growth, an environment catastrophe will stop it.
Bolero is the quintessential musical exponential.
Technology has broken the bound to the land. When growth ends, sufficient raw material and environmental infrastructure must be left to support growth. Consumption, not population growth is the problem. Everyone is committed to consumption growth. Will precipitate economic, social and military calamities.