Final answer:
A dynamically stable system experiences forces that restore it to equilibrium when disturbed, characterizing stable equilibrium. In physical contexts, this can be a marble in a bowl, and in biological systems, it's dynamic homeostasis maintaining internal stability.
Step-by-step explanation:
A system that is dynamically stable returns to equilibrium after being disturbed. This means it experiences a net force or torque that is opposite to the direction of its displacement, promoting a return to its original state of balance.
Consider a marble at the bottom of a bowl. If the marble is nudged, it rolls up the side and then back towards the center. This is due to the restoring force acting opposite to the displacement, indicative of a stable equilibrium. In contrast, a marble on top of an inverted bowl is in an unstable equilibrium; any displacement will increase, moving the marble further away from its initial position. Lastly, a marble on a flat surface is in neutral equilibrium, where its position does not affect its stability.
The concept of stability is not only applicable to physical systems but also biological ones, where dynamic homeostasis refers to the ability of an organism to maintain a stable internal environment despite external changes.