THE PARAMETRIC INSTABILITY OF OSCILLATOR IN THE CASE OF COMPLEX MODULATION. THE EXACT SOLUTION MODEL

It is considered the exact solvable mathematical model of oscillator parametric instability for the case of complex modulation function. The analytical solution of this model is presented and numerical calculations are performed to study the instability parameters dependence on the modulation function spectrum. The results obtained are of the great interest for nonlinear processes in the space plasma, the astrophysics, for planet researches and the biophysics also including cases of stochastic resonances.