A conditional, collision-avoiding, model for swarming

Felipe Cucker, Jiu-Gang Dong
2013 Discrete and Continuous Dynamical Systems. Series A  
We propose a model for swarming (i.e., cohesion preserving) that shares all the good properties of the CS-model for flocking. In particular, we show for this model that under strong interactions of the agents swarming unconditionally occurs and that, furthermore, it does so in a collision avoiding manner. We also show that under weak interactions the same holds true provided the initial state of the population (their positions and velocities) satisfies some explicit inequalities. 2010
more » ... ies. 2010 Mathematics Subject Classification. Primary: 93C15; Secondary: 93C35.
doi:10.3934/dcds.2014.34.1009 fatcat:u3cm4z6mezcaddzcdzdy5wqmty