18 citations · 63 across the 15 of their papers we have counts for
3 papers · 1 filter
Detecting phase transitions in collective behavior using manifold's curvature
Kelum Gajamannage, Erik M. Bollt
If a given behavior of a multi-agent system restricts the phase variable to a invariant manifold, then we define a phase transition as change of physical characteristics such as sp…
Dimensionality Reduction of Collective Motion by Principal Manifolds
Kelum Gajamannage, Sachit Butail, Maurizio Porfiri +1
While the existence of low-dimensional embedding manifolds has been shown in patterns of collective motion, the current battery of nonlinear dimensionality reduction methods are no…
Identifying manifolds underlying group motion in Vicsek agents
Kelum Gajamannage, Sachit Butail, Maurizio Porfiri +1
Collective motion of animal groups often undergoes changes due to perturbations. In a topological sense, we describe these changes as switching between low-dimensional embedding ma…