ataxy vs neurological disorder

ataxy and neurological disorder both are nouns.

Word	Noun	Adjective	Verb	Adverb
ataxy	Yes	No	No	No
neurological disorder	Yes	No	No	No

As nouns, neurological disorder is a hypernym of ataxy; that is, neurological disorder is a word with a broader meaning than ataxy:

ataxy: inability to coordinate voluntary muscle movements; unsteady movements and staggering gait
neurological disorder: a disorder of the nervous system

Other hypernyms of ataxy include nervous disorder, neurological disease.

ataxy (noun)	neurological disorder (noun)
inability to coordinate voluntary muscle movements; unsteady movements and staggering gait	a disorder of the nervous system