The hun did established some kingdoms and dynsties in history but not named an opposite dynasty or nation. Those dynasties they set up were when China was in the turbulent times. You also mentioned the hun of North. The Hun was divided into the South and North parts in Eastern Han Dynasty. The North part was beaten by the Han and South Hun, then forces to move westward to central, west Asia, or perhaps futher.

This part of Chinese History has always been a source of confusion for me and doesn't seem to make much sense. I don't believe the whole Hun population was ever driven out of Northwestern China. The Huns had developed a very powerful empire by the end of the 2nd. Han Dynasty and not long after expanded it westward into Europe under Attila. The Huns, Avars and Magyars - (all directly related), created the largest consistent empire in Europe since the time of their initial invasion under the leadership of Attila. It lasted for over 1,500 years until the end of World War I. Their language was the third most widely spoken language on continental Europe for about 1,500 years next to German and French. The Hungarians created the first united country on continental Europe in the year 1,000 AD almost 1,000 years before Germany and Italy became unified countries. In recent years archeologists have found artifacts near the original ancient Chinese Han capitol city of Xian which are exactly like artifacts found in Hungary during the time of Attila - like the large cauldrons they used for cooking food. The largest ethnic minority population in China today is the Uighurs who live in Northwestern China who's population I believe is about 10 million people?....The Uighurs are directly related to the ancient Huns and they took over Northwestern China after the Huns expanded their empire into Europe. The Uighurs developed a very powerful and influential empire and definitely influenced China's culture in regards to philosophy and medicine, etc. As a proud Hungarian American it's kind of frustrating to see how my heritage and its contributions have been marginalized and diminished in both European and Chinese History according to some people.