Abstract. The mechanism of generation of 2-day photochemical oscillations in the mesopause region (80-90 km) has been studied analytically. The initial system of equations of chemical kinetics describing the temporal evolution of O, O 3 , H, OH and HO 2 concentrations with allowance for diurnal variations of solar radiation has been simplified successively to a system of two nonlinear first-order time equations with sinusoidal external forcing. The obtained system has a minimum number of terms needed for generation of 2-day oscillations. Linearization of this system near the perioddoubling threshold permits separating explicitly a particular case of the Mathieu equationẍ+α·sin ωt ·x = 0, in which the first sub-harmonic (ω/2) of the exciting force starts to grow exponentially when the amplitude of external forcing (α) exceeds its threshold value. Finally, a system of two simplest differential equations with power-law nonlinearity has been derived that allows analytical investigation of the effect of arising of reaction-diffusion waves in the mesospheric photochemical system.
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