Decomposing the dynamics of heterogeneous delayed networks with applications to connected vehicle systems

摘要

Delay-coupled networks are investigated with nonidentical delay times and the effects of such heterogeneity onnthe emergent dynamics of complex systems are characterized. A simple decomposition method is presented thatndecouples the dynamics of the network into node-size modal equations in the vicinity of equilibria. The resultingnindependent components contain distributed delays that map the spatiotemporal complexity of the system tonthe time domain. We demonstrate that this approach can be used to reveal physical phenomena in heterogenousnvehicular traffic when vehicles are linked via vehicle-to-vehicle communication.