What bio-energetics system is martial arts?

Your question should be more specific like, "which martial arts system which focuses on qi effects our bioenergetics?"

Hard style martial arts like Shaolin Kung Fu obviously burn calories while calling upon an ADP <-> ATP biochemical exchange in order to apply power. If I categorized a bioenergetics "system," this would be a physical system.

Soft style martial arts like Taijiquan focus on building internal Qi or bioenergy which is focused when applying power. Soft style martial arts focuses on energetic functions which leads to form such as an ADP<-> ATP exchange. More mind is applied than body here, so I would call it a psychic system.

Both hard and soft style martial arts are two different paths on the same road wherein hard becomes soft and soft becomes hard. Altogether, they are "bioenergetic systems."

Please excuse my answer if it is not satisfactory, but your question is vague.