The paper investigates fast flavor conversions (FFCs) in a dense neutrino gas, focusing on the instability that leads to these conversions. The authors use a two-beam model to explore how the system evolves when driven towards instability. They compare scenarios where the instability occurs suddenly or slowly, finding that the final state depends on the history of how the instability is driven. For symmetric beams, the system tends towards equipartition, while for asymmetric beams, the final state can differ significantly. The authors also provide a quasi-linear analysis to explain the system's tendency to stay close to linear stability, which is validated by numerical simulations. The study suggests that in astrophysical settings, the focus should be on the external dynamics leading to instability rather than assuming an unstable configuration from the start.The paper investigates fast flavor conversions (FFCs) in a dense neutrino gas, focusing on the instability that leads to these conversions. The authors use a two-beam model to explore how the system evolves when driven towards instability. They compare scenarios where the instability occurs suddenly or slowly, finding that the final state depends on the history of how the instability is driven. For symmetric beams, the system tends towards equipartition, while for asymmetric beams, the final state can differ significantly. The authors also provide a quasi-linear analysis to explain the system's tendency to stay close to linear stability, which is validated by numerical simulations. The study suggests that in astrophysical settings, the focus should be on the external dynamics leading to instability rather than assuming an unstable configuration from the start.