Breakthrough Innovation Evolution Model Based on Chaos Theory

Breakthrough innovation is seen as a leading technology and industrial development direction,by which enterprises obtain the key for winning sustainable competitive advantage.In this paper,a chaos model is developed to examine how the breakthrough innovation evolves with the changed external environment ability and internal power.Numerical simulations based on chaos theory illustrate that the breakthrough innovation leads to chaos through the period-doubling bifurcation,and the chaos is the result of nonlinear interaction which is a qualitative change in the process between internal dynamics and external factors.The general conditions in which the breakthrough innovation comes to chaos instead of being in good order are gotten.The results show that the breakthrough innovation has chaotic characteristics and has a very sensitive dependence on the initial conditions in the process of running.The chaotic evolution can reflect the nonlinear character of the breakthrough innovation development and it can provide theoretical guidance for the application of chaos and chaotic control of innovation management.