Abstract
An analytical investigation of the asymptotic behavior and the bistability of coherent 2D mode coupling among collisional Rayleigh-Taylor modes in equatorial F region ionosphere with one mode forced by a neutral atmospheric wave (as a pump) where the linear growth rate γ of the forced mode is much larger than its frequency. The results show that no stable asymptotic state exists for a nonzero ω and the pump amplitude below a critical value depending on ω, where ω is the frequency detuning between the pump and the forced mode, otherwise, there exists at least one stable asymptotic state, bistability may occur only when ω satisfies1/4 ≤ (ω/γ)2 < 1/3. The bistable transition leads to the substantial energy variations of the collisional Rayleigh-Taylor modes, and its occurrence requires the relative density perturbation caused by the neutral atmospheric wave on the order of a few percent for the typical ionospheric parameters.
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