Dynamic Systems in Games

Here, take a look at this simple game I coded up. Your task is to keep an engine's temperature as high as possible, to maximize power output, without dmaaging the engine. The threshhold for damage is at 10 degrees, and the engine will stop burning and deignite if it goes under 2 degrees.

0 degrees No ignition DAMAGE!

It's interesting! The fundamental relationship here is \[\frac{\partial T}{\partial t} = c_{F} T F - c_{T} (T - T_{0})\]