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.

Highlights

  • The word ‘‘innovation’’ was first proposed in the book ‘‘The Theory of Economic Development’’ by Joseph Alois Schumpeter

  • The innovation behaviour of an enterprise can vary depending on the degree of intellectual property protection

  • Enterprises in China are bound to be affected by the degree of intellectual property protection in China’s environment

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Summary

Introduction

The word ‘‘innovation’’ was first proposed in the book ‘‘The Theory of Economic Development’’ by Joseph Alois Schumpeter. The reaction step M0 can be understood as follows: R&D planned investment in the enterprise innovation system is affected by the degree of intellectual property protection. The reaction step M1 can be understood as follows: in the enterprise innovation system, the combination of actual R&D investment and valid patents owned by the enterprise will lead the enterprise to create new products.

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Conclusion

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