Coarse-grained dynamics of alignment in
animal group models
Abstract:
Using equation-free computational tools we explore the coarse-grained
dynamics of a model for the orientational movement decision in animal
groups, consisting of a small number of informed "leaders'' and a large
number of uninformed, nonidentical
"followers''. The direction in which each group member is headed is
characterized by a phase angle of a limit-cycle oscillator, whose
dynamics are nonlinearly coupled with those of all the other group
members. We identify a small number of proper coarse-grained variables
(using uncertainty quantification methods) that sufficiently describe
the collective dynamics, and perform coarse projective integration and
equation-free bifurcation analysis of the coarse-grained model behavior
in these variables.
<Manuscript will be avaiable soon>.