stability vs invariance

stability and invariance both are nouns.

Word	Noun	Adjective	Verb	Adverb
stability	Yes	No	No	No
invariance	Yes	No	No	No

As nouns, invariance is a hyponym of stability; that is, invariance is a word with a more specific, narrower meaning than stability:

stability: the quality of being enduring and free from change or variation
invariance: the nature of a quantity or property or function that remains unchanged when a given transformation is applied to it

Other hyponyms of stability include metastability, monotony.

stability (noun)	invariance (noun)
the quality or attribute of being firm and steadfast	the quality of being resistant to variation
the quality of being enduring and free from change or variation	the nature of a quantity or property or function that remains unchanged when a given transformation is applied to it
a stable order (especially of society)