Hurricanes, Typhoons, Cyclones are all different names of the same thing, Tropical Cyclones - powerful rotating storms that form over tropical water. It is the location that determines what they are called. In the Atlantic, they are called Hurricanes, in the North Pacific, Typhoons and in the south pacific, Cyclones.
Ex:- Hurricane Katrina, Typhoon Haiyan
- National Weather Service - http://www.weather.gov/