Synergetics of Enterprise Innovation Systems Based on a Three-Variable Oscillation Reaction

Abstract

In this paper, we proposed a mathematical analysis model of the enterprise innovation system according to the theory of synergetics and based on a three-variable chemical oscillation model. The three variables-innovation capability status, resource investment status and innovation support status-are used metaphorically as the main reaction variables in the oscillation reaction. Through the simulation, in which the fourth-order Runge-Kutta algorithm was utilized and realized by the software MATLAB, the co-evolutionary characteristics of enterprise innovation systems were studied. We conclude that the degree of protection of intellectual property rights has a critical impact on the enterprise innovation system: overly strong or weak intellectual property protection is not conducive to enterprise innovation. Only when intellectual property protection is within a reasonable range can it promote the evolution of the enterprise innovation system to the collaborative state.