While there are subspecies of cougar, they are all the same species:
* Puma concolor concolor (Eastern Cougar): Found in eastern North America, but now considered extirpated from the eastern United States.
* Puma concolor couguar (Florida Panther): Found in Florida, critically endangered.
* Puma concolor costaricensis (Central American Cougar): Found in Central America.
* Puma concolor puma (Andean Cougar): Found in the Andes Mountains of South America.
* Puma concolor concolor (South American Cougar): Found in South America, outside of the Andes.
* Puma concolor stanleyana (Mountain Lion): Found in western North America.
* Puma concolor cabrerae (Patagonian Puma): Found in Patagonia.
Other names for cougars:
* Mountain lion
* Puma
* Panther (although this term is also used for other big cats)
* Catamount
So, while there are different subspecies of cougar, they are all part of the same species, Puma concolor.