Dense neutrino systems, which display collectivity mediated by weak interaction, have both parallels and dissimilarities with kinetic systems with collective interactions mediated by other fundamental forces. We first identify analogues in fast flavor conversion of some time-honored nonlinear phenomena in plasmas and self-gravitating systems, focusing in particular on nonlinear Landau damping and collisionless equilibria. We then demonstrate the previously unexplored phenomenon of flavor-wave synchronization, which to our knowledge is a distinguishing characteristic of dense neutrino systems. The phenomena we exhibit are likely important pieces of the unsolved puzzle of neutrino oscillations in core-collapse supernovae and neutron star mergers.

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• Neutrino oscillations
• Neutrinos
• Nonlinear waves