Flocking Behavior of Cucker–Smale Model with Processing Delay

الملخص EN

The dynamics of a delay multiparticle swarm, which contains symmetric and asymmetric pairwise influence functions, are analyzed.

Two different sufficient conditions to achieve conditional flocking are obtained.

One does not have a clear relationship with this delay, and the other proposes a range of processing delays that affect the emergence of a flock.

It is also pointed out that if the interparticle communication function has tail dissipation, unconditional flocking can be guaranteed.

Compared with the previous results, the range of the communication rate β that allows a flock to emerge has been expanded from 1/4 to 1/2.