bay lynx vs Lynx rufus

bay lynx and Lynx rufus both are nouns.

Word	Noun	Adjective	Verb	Adverb
bay lynx	Yes	No	No	No
Lynx rufus	Yes	No	No	No

As nouns, bay lynx and Lynx rufus are synonyms defined as:

Other synonyms of bay lynx include bobcat.

bay lynx (noun)	Lynx rufus (noun)
small lynx of North America	small lynx of North America