%0 Journal Article %T Emergent Spatial Structures in Flocking Models: A Dynamical System Insight %+ Laboratoire de Physique de l'ENS Lyon (Phys-ENS) %+ Matière et Systèmes Complexes (MSC) %+ Laboratoire de Physique Théorique de la Matière Condensée (LPTMC) %+ Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes (SPHYNX) %+ Max Planck Institute for the Physics of Complex Systems (MPI-PKS) %+ Instituut-Lorentz, Universiteit Leiden, The Netherlands %A Caussin, Jean-Baptiste %A Solon, Alexandre %A Peshkov, Anton %A Chaté, Hugues %A Dauxois, Thierry %A Tailleur, Julien %A Vitelli, Vincenzo %A Bartolo, Denis %< avec comité de lecture %@ 0031-9007 %J Physical Review Letters %I American Physical Society %V 112 %8 2014 %D 2014 %Z 1401.1315 %R 10.1103/PhysRevLett.112.148102 %Z Physics [physics]Journal articles %X 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. %G English %2 https://cea.hal.science/cea-01478849/document %2 https://cea.hal.science/cea-01478849/file/1401.1315.pdf %L cea-01478849 %U https://cea.hal.science/cea-01478849 %~ ENS-LYON %~ CEA %~ UNIV-PARIS7 %~ UPMC %~ CNRS %~ UNIV-LYON1 %~ LPTMC %~ IRAMIS-SPEC %~ UPMC_POLE_2 %~ SORBONNE-UNIVERSITE %~ SU-SCIENCES %~ UDL %~ UNIV-LYON %~ UNIV-PARIS %~ UP-SCIENCES %~ SU-TI %~ ANR %~ MSC-LAB %~ IRAMIS %~ GS-PHYSIQUE %~ ALLIANCE-SU