Below you see a picture of a mass m attached to a spring.

By what kind of stability is this system characterised?

3 answers

The system is characterized by stable equilibrium.
positive static stability.
As soon as the mass m is brought away from the equilibrium position, the spring will pull the mass back to its original position.
Apologies for the previous response. You are correct, the system is characterized by positive static stability.

When the mass m is displaced from its equilibrium position, the spring exerts a restoring force in the opposite direction to bring it back to its original position. This restoring force increases with increasing displacement, meaning that the system is stable and will return to equilibrium when perturbed.