title: Statistical multimoment bifurcations in random-delay coupled swarms.
abstract: We study the effects of discrete, randomly distributed time delays on the dynamics of a coupled system of self-propelling particles. Bifurcation analysis on a mean field approximation of the system reveals that the system possesses patterns with certain universal characteristics that depend on distinguished moments of the time delay distribution. Specifically, we show both theoretically and numerically that although bifurcations of simple patterns, such as translations, change stability only as a function of the first moment of the time delay distribution, more complex patterns arising from Hopf bifurcations depend on all of the moments.
authors.affiliation: U.S. Naval Research Laboratory, Code 6792, Nonlinear System Dynamics Section, Plasma Physics Division, Washington, DC 20375, USA.
authors.forename: Luis
authors.initials: L
authors.lastname: Mier-Y-Teran-Romero
authors.forename: Brandon
authors.initials: B
authors.lastname: Lindley
authors.forename: Ira B
authors.initials: IB
authors.lastname: Schwartz
mesh_terms: D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical
chemical_list: D003102:Colloids