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The thermodynamic properties and the magnetic dynamics control of the a multiferroic chains with a magnetoelectric coupling are studied theoretically using Monte Carlo simulations.It is shown that the spin-spin correlations are affected by thermal fluctuations and by an electric field.Results for the temperature static dependence of the ferroelectric polarization and the electric susceptibility are presented and analyzed with a focus on the response of the FE polarization and the helicity to different period to the applied high frequency electric field.