Learning Reduced Order Dynamics via Geometric Representations
Imran Nasim, Melanie Weber
SCML 2024
In this paper, we briefly review some recent theoretical and numerical progress in understanding flocking dynamics. On the theoretical side, a continuum model has been successfully used in explaining the hydrodynamic properties of the flock dynamics. In particular, the long-range ordered state has been shown to be stable even in two dimensions. On the numerical side, study of a discrete model which includes both body force interaction and alignment force reveals a very rich phase diagram. The potential of such models in describing finite flocks is discussed. In the end, we list some unanswered questions and new directions for future studies.
Imran Nasim, Melanie Weber
SCML 2024
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