Abstract: In order to reveal the evolution behavior and law of Enterprises Technological Innovative Investment (ETII), an economic growth nonlinear dynamic model of ETII expressed in a differential form was constructed. A differential evolution algorithm was used to optimize the parameters of the model, and then the computer simulation has been carried out. The main conclusions are as follows: (1) R&D investment per person and the ratio of R&D personnel have the decisively influence on the evolution behavior of economic growth of ETII system in enterprises, and the evolution characteristics of the system could be changed by adjusting the value of these two impact factors. (2) The factors should be adjusted in a certain range by taking the scientific theory as the guideline and foundation. (3) Value increasing of these two impact factors might not inexorably lead to the raise of industrial value per person. (4) When the value of the two factors is increased to some conditions, the bifurcation will be appeared; and following with two totally different results, and finally the system will enter into a chaotic state. (5) With the R&D investment and/or the R&D personnel ratio increasing, the speed for system entering bifurcation and going into chaotic state is faster.

Key words: technological innovative investment, nonlinear dynamic model, evolution behavior, computer simulation, large and medium-sized industrial enterprises