Abstract: Combining with the characteristics of the knowledge union members in university library, this paper discusses the incentive mechanism of the inner randomness and initial value sensitivity of library knowledge union member behavior using the chaos theory. A complicated nonlinear relationship is thought exist between knowledge-based personalized needs of trade union members and behavior incentives of the trade union members. According to the American education union, the application of chaos theory in knowledge union members incentive mechanism is analyzed. The management incentive method to knowledge union members behavior will lead to form adaptive chaotic organization of university library is pointed out, and finally form the benign development mechanism innovation.

Key words: Chaos theory