Emergent Spatial Structures in Flocking Models: A Dynamical System Insight
Emergent Spatial Structures in Flocking Models: A Dynamical System Insight
We show that hydrodynamic theories of polar active matter generically possess inhomogeneous traveling solutions. We introduce a unifying dynamical-system framework to establish the shape of these intrinsically nonlinear patterns, and show that they correspond to those hitherto observed in experiments and numerical simulation: periodic density waves, and solitonic bands, or …