Kinetic hierarchy and propagation of chaos in biological swarm models

Details Kinetic hierarchy and propagation of chaos in biological swarm models Kinetic hierarchy and propagation of chaos in biological swarm models

2011-10-07

arxiv.org/abs/1110.1655v1

Mathematics

Probability

Scientific paper

We consider two models of biological swarm behavior. In these models, pairs of particles interact to adjust their velocities one to each other. In the first process, called 'BDG', they join their average velocity up to some noise. In the second process, called 'CL', one of the two particles tries to join the other one's velocity. This paper establishes the master equations and BBGKY hierarchies of these two processes. It investigates the infinite particle limit of the hierarchies at large time-scale. It shows that the resulting kinetic hierarchy for the CL process does not satisfy propagation of chaos. Numerical simulations indicate that the BDG process has similar behavior to the CL process.

Affiliated with

Also associated with

No associations

Rating

Kinetic hierarchy and propagation of chaos in biological swarm models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kinetic hierarchy and propagation of chaos in biological swarm models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kinetic hierarchy and propagation of chaos in biological swarm models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-496777