18 citations · 63 across the 15 of their papers we have counts for
3 papers · 1 filter
Recurrent Neural Networks for Dynamical Systems: Applications to Ordinary Differential Equations, Collective Motion, and Hydrological Modeling
Yonggi Park, Kelum Gajamannage, Dilhani I. Jayathilake +1
Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary re…
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…
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…