Research on Characteristics of Traffic Flow Three Parameters Based on Cusp Catastrophe Theory

Abstract

It is found that cusp catastrophe theory has similar characteristics to the traffic flow three parameters, for this reason, it puts forward a hypothesis that the cusp mutation theory is applied to study characteristics of traffic flow three parameters. At first, the data of traffic flow three parameters on the Huanshixi R.D. (west of the cross-bridge) is collected by the microwave detection method. After suitable transformation of coordinates, the cusp catastrophe theory traffic flow model is established from the perspective of three-dimensional space by combining with the cusp catastrophe theory. The model is used to describe the characteristics of traffic flow three parameters. After detailed analyzing the variation trend of data, the traffic flow three parameters have similar characteristics to the cusp catastrophe theory. Thus it is proved that the cusp catastrophe theory can be used to describe the relationship of traffic flow three parameters.