Delay-induced instabilities in self-propelling swarms Export

@article{citeulike:2564223, abstract = {We consider a general model of self-propelling particles interacting through a pairwise attractive force in the presence of noise and communication time delay. Previous work by Erdmann et al. [Phys. Rev. E 71, 051904 (2005)] has shown that a large enough noise intensity will cause a translating swarm of individuals to transition to a rotating swarm with a stationary center of mass. We show that with the addition of a time delay, the model possesses a transition that depends on the size of the coupling amplitude. This transition is independent of the initial swarm state (traveling or rotating) and is characterized by the alignment of all of the individuals along with a swarm oscillation. By considering the mean field equations without noise, we show that the time-delay-induced transition is associated with a Hopf bifurcation. The analytical result yields good agreement with numerical computations of the value of the coupling parameter at the Hopf point.}, author = {Forgoston, Eric and Schwartz, Ira B.}, citeulike-article-id = {2564223}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000077000003035203000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v77/e035203}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevE.77.035203}, doi = {10.1103/PhysRevE.77.035203}, journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}, keywords = {coupling, delay, swarm}, number = {3}, posted-at = {2008-03-19 21:14:59}, priority = {2}, publisher = {APS}, title = {Delay-induced instabilities in self-propelling swarms}, url = {http://dx.doi.org/10.1103/PhysRevE.77.035203}, volume = {77}, year = {2008} }

TY - JOUR ID - citeulike:2564223 L3 - citeulike-article-id:2564223 N2 - We consider a general model of self-propelling particles interacting through a pairwise attractive force in the presence of noise and communication time delay. Previous work by Erdmann et al. [Phys. Rev. E 71, 051904 (2005)] has shown that a large enough noise intensity will cause a translating swarm of individuals to transition to a rotating swarm with a stationary center of mass. We show that with the addition of a time delay, the model possesses a transition that depends on the size of the coupling amplitude. This transition is independent of the initial swarm state (traveling or rotating) and is characterized by the alignment of all of the individuals along with a swarm oscillation. By considering the mean field equations without noise, we show that the time-delay-induced transition is associated with a Hopf bifurcation. The analytical result yields good agreement with numerical computations of the value of the coupling parameter at the Hopf point. IS - 3 JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) TI - Delay-induced instabilities in self-propelling swarms PB - APS VL - 77 KW - coupling KW - delay KW - swarm AU - Forgoston, Eric AU - Schwartz, Ira PY - 2008/// UR - http://dx.doi.org/10.1103/PhysRevE.77.035203 ER -