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为了揭示大中型工业企业技术创新投资的演化行为与规律,构建了一个以差分形式表示的企业技术创新投资经济增长非线性动力学模型。采用差分演化算法对模型进行了参数优化并进行了计算机模拟。主要结论是:①企业的人均研发经费投入与科技活动人员比率对企业技术创新投资系统经济增长的演化行为有着决定性的影响,可以通过调节二者的值来改变系统的演化特性;②对二者的调节应在一定范围内进行;③并不是二者的值越大就必然导致企业人均工业增加值的上升;④当二者的值增大到一定条件会出现系统演化行为的分岔,分岔后会出现两种决然不同的结果,并最终进入混沌状态;⑤随着二者的值不断增大,系统进入分岔与走向混沌的速度也不断加快。
In order to reveal the evolutionary behavior and regularities of technological innovation investment in large and medium-sized industrial enterprises, a non-linear dynamic model of economic growth of technological innovation investment in enterprises is constructed. The differential evolution algorithm was used to optimize the model and computer simulation. The main conclusions are as follows: ①The per capita R & D expenditure of enterprises and the ratio of R & D personnel have a decisive influence on the evolution of the economic growth in the investment system of technological innovation and can change the evolutionary characteristics of the system by adjusting the values of the two; The adjustment should be carried out within a certain range; ③ not the greater the value of the two will inevitably lead to the increase of per capita industrial added value; ④ When the value of the two increases to a certain condition, there will be a bifurcation of system evolution behavior, After the bifurcation, two kinds of completely different results will appear, and finally enter the chaos state. ⑤ As the value of the two increases, the speed at which the system enters the bifurcation and goes to the chaos is also accelerating.