The dynastic cycle is something that has held true for I think pretty much all organized human states larger than the hunter gatherer tribe. There is the constant tension between the central authority and the other potential centers of power whether this be nobles, patricians, outlying governors, billionaire oligarchs, etc... The oligarchs may have arisen because of central government patronage, promotion to noble class for actions done by their ancestors to support the government, or by successful business, but regardless they eventually aim to further their own selfish or family interests over that of the government. They are not necessarily actively disloyal or trying to overturn the system since their own wealth and power depends on perpetuation of the system. Every dynastic change pretty much swept away the old oligarch class to replace it with new people so these same oligarchs don't really want revolution. However their attempts to advance their own personal interests inevitably eroded the power and wealth of the government to the point where a revolution took place.
No government in human history has overcome this problem, and things usually come to a head between 200-400 years after a dynasty's formation. That is when the central authority's resources become so starved that it cannot cope with external shocks such as external enemies or natural disasters. Attempts at clawing back resources usually fail or are insignificant because there are central authority supporters among the oligarchs or there is capture of the levers of state by the oligarchs so attempts at revoking privileges or taking back wealth are ultimately ineffectual as the central authority avoids antagonizing its own supporters. Even though individual oligarchs might fall and have their wealth confiscated, the overall trend is still ever increasing concentration of wealth and power into other centers of power. Eventually with wealth comes military and political power such as seen with the warlord figures in the late Han or Three Kingdoms period.
The fall of a dynasty would lead to a resetting of the board as the old oligarchs are replaced by new ones, to then repeat the cycle. While the unique features of each dynasty might have resulted in a speeding up or slowing down of the cycle, the cycle still turned. It has probably sped up with more technology as greater tech and sophistication accelerates the speed at which wealth generation and accumulation can occur.
Well the solution is right there in the prompt. The concentration of wealth leads to political power, which leads to wealth, leading to concentration of wealth and power. Marx talks extensively about this. If you can organize the state in such a way as to permanently decouple wealth and power--which the PRC, as a Marxist-Leninist state, does--perhaps you won't succumb to this cycle as readily.