Abstract
We propose a general nonlinear consensus model and study its asymptotic behaviors. The proposed consensus model is motivated by the one-dimensional relativistic Cucker-Smale (RCS) model which corresponds to the relativistic counterpart of the Cucker-Smale (CS) flocking model. Depending on the regularity and singularity of communication weight at the origin and far-field, we provide diverse clustering patterns for the collective behaviors of the proposed model. We also study the structural stability of the proposed model with respect to coupling function.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have