Well, there's a slight problem with this thought: It didn't. There are certainly continuities in social structure, but there is no concept of iterations of a single, continuous state as you're thinking.

u/EnclavedMicrostate goes into the use of the term 'dynasty' and its uses, and transitions between states, particularly relevant here.

Edit: EM has reminded me of this answer on political changes between states, which is also relevant.

As always, if anyone would like to address this question, more answers are always welcome!