Polarization of ferroelectric ceramics in an alternating electric field with frequency UJ in a case when damping is large is considered. For the two-type of ions phenomenological model of ferroelectrics which includes only two types of ions of the crystalic lattice, the nonlinear anharmonic equation for polarization is considered. By perturbation method the solution of this equation in the first order in anharmonicity coefficient is constructed. It is shown that an additional oscillations of polarisation with frequency omega/2 and phase shift between real and imaginary components of polarization appeared.
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