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Updated: Apr 30, 2026

The HoneyComb Paradigm for Research on Collective Human Behavior
Published on: January 19, 2019
Emergent spatial structures in flocking models: a dynamical system insight
Jean-Baptiste Caussin1, Alexandre Solon2, Anton Peshkov3
1Laboratoire de Physique de l'Ecole Normale Supérieure de Lyon, Université de Lyon, CNRS, 46, Allée d'Italie, 69007 Lyon, France.
Abstract:
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 polar-liquid droplets both cruising in isotropic phases. We elucidate their respective multiplicity and mutual relations, as well as their existence domain.
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