Red Stars have been used on more than just Sino-Soviet Aircraft.
The Chinese Air Force (The Peoples Liberation Army Air Force) has used a star alone and a star with bars extending to the sides. The symbols in the star refer to the date of the Long March.
In a somewhat similar manner, the U.S. has used a star in a roundel and a roundel with a star and bars extending to the side.
The graphic above, steps through a series of the emblems used over the years by U. S. Forces.