Development evaluation of China's regional innovation during the deep integration process of industry-university research institute cooperation network-a perspective of change speed

The dynamics of China's regional innovation in the process of deep integration between industry, university, and research institutes is in a constant state of flux, exhibiting various characteristics such as fluctuations and shifts. This study aims to assess the development status of China's regional industry-university research institute cooperation network from the perspective of change speed, utilising catastrophe series theory and methods such as butterfly catastrophe, dovetail catastrophe, and cusp catastrophe. Through a static time series panel evaluation, the study captures the static change speed value and trend value of the deep integration of China's regional industry-university research institute cooperation network. Drawing on Newton's second law of motion in physics as a reference, a comprehensive evaluation value is derived, reflecting the actual development status of China's regional industry-university research institute cooperation network from the perspective of change speed.