|Title||The dynamics of selfish herds|
|Presenter||Shannon Dee Algar (The University of Western Australia)|
|Author(s)||Shannon Dee Algar|
|Session||Dynamical Systems and Fluid Dynamics|
Many well-known models of collective motion focus on the asymptotic behaviour of groups. Such results are not accurate representations of non-equilibrium systems where the short time scale motion produces the most interesting dynamics. These same models tend to incorporate some form of mutually compatible goal or mimicking of neighbours eventually concluding that a global order can emerge for an appropriate choice of parameters. We highlight several situations where dynamic behaviour is dominated by the presence of predators leading one to consider that self interest, and not cooperation, is the key driver for the pattern formation. We build on the notion of a selfish herd, first proposed by Hamilton in 1971, using an interaction network defined by the Delaunay triangulation and inertial social forces that aim to minimise the individualís Voronoi cell, which is used as a proxy for each individual's positional danger. Numerical simulations of self propelled particles illustrate that the biologically motivated selfish avoidance of a predator can lead to realistic and seemingly cooperative motion resembling that of a swarm of midges. Allowing the particles to foresee future configurations, a pseudo-intelligence, transforms a swarm into a flock.
Back To Timetable