That distinction is correct: homeostasis requires maintenance, and can typically be modeled as a result of some control process which optimizes (or at least satisfices) some cost over time. It can be often thought of as equilibrium, not on the system state space but on the space of system trajectories in time.
probably yes in a mathematical sense, but in my opinion it would be a bit weird to describe a bowl of water at room temperature as a homeostatic system.
True, maybe because there's nothing very salient about 'being at room temp' (especially given that room temp is not fixed nor even independent). A bit like 'being a Pareto-optimal distribution'...
Not just Austrian: https://en.wikipedia.org/wiki/Grossman-Stiglitz_Paradox
Attractors? The system might have several states that are good enough, and it might bounce between them?
Or the cat decides to shred the elastic...
That distinction is correct: homeostasis requires maintenance, and can typically be modeled as a result of some control process which optimizes (or at least satisfices) some cost over time. It can be often thought of as equilibrium, not on the system state space but on the space of system trajectories in time.
Isn"t equilibrium a subtype of homoeostasis?
probably yes in a mathematical sense, but in my opinion it would be a bit weird to describe a bowl of water at room temperature as a homeostatic system.
True, maybe because there's nothing very salient about 'being at room temp' (especially given that room temp is not fixed nor even independent). A bit like 'being a Pareto-optimal distribution'...