Oregon FWS:
http://www.dfw.state.or.us/
County laws may differ, as well as localities, but here is the state law:
http://www.leg.state.or.us/ors/609.html (Goto section 609.205)
Basically they define exotic animals as:
609.305 Definitions for ORS 609.305 to 609.335 and 609.992. As used in ORS 609.305 to 609.335 and 609.992, “exotic animal” means:
(1) Any member of the family Felidae not indigenous to Oregon, except the species Felis catus (domestic cat);
(2) Any nonhuman primate;
(3) Any wolf (Canis lupus);
(4) Any nonwolf member of the family Canidae not indigenous to Oregon, except the species Canis familiaris (domestic dog); and
(5) Any bear, except the black bear (Ursus americanus). [1985 c.437 §2; 1999 c.699 §3]
But still.... remember to check your local laws!