Dynamic transition induced by route choice in two-route traffic network with onramp

We investigate the traffic dynamics of route choice using real-time information in the case that there is an onramp in the two-route network. We propose the macroscopic two-route network model with an onramp for the route choice. The traffic behavior in two-route network changes by introducing the onramp. We study the effect of the onramp on the traffic dynamics. The macroscopic dynamic equations of vehicular densities are derived. The traffic behavior depends on both entrance and onramp inflows. It is shown that the dynamic transition between oscillating and stationary traffics occurs by varying both entrance and onramp inflows. The oscillating traffic exhibits a limit cycle, while the stationary traffic shows a stable focus. The dynamic transition is similar to Hopf bifurcation. (c) 2022 Elsevier B.V. All rights reserved.