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 theeffects of such heterogeneity on the emergent dynamics of complex systems arecharacterized. A simple decomposition method is presented that decouples thedynamics of the network into node-size modal equations in the vicinity ofequilibria. The resulting independent components contain distributed delaysthat map the spatiotemporal complexity of the system to the time domain. Wedemonstrate that this new approach can be used to reveal new physical phenomenain heterogenous vehicular traffic when vehicles are linked viavehicle-to-vehicle (V2V) communication.