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The problem of the description of the dynamic behaviour of the systems of electric oscillators with variable and interdependent non-pointwise dipole moments, being close to each other, in the presence of attenuation and excitation is not trivial even for a one-dimensional case. However, the urgency of the solution of this problem results from the necessity to explain the nature of the effects arising in the conditions of super-low-frequency (SLF) electromagnetic action, 1 < w < 10 3 Hz, on dispersion media. Among these phenomena we should note a recently discovered super-sensitive mechanical response in strongly compressed crystalline hydrate systems to a rather weak action of SLF electric field (a factor of w > 103 weaker than breakdown fields for such media) . Let us also note the phenomenon of short-term excitation and synchronization of electrical fluctuations in many types of macroscopic biological systems in narrow SLF bands. The appropriate chain potential, taking into account the fact that dipole moments are non-pointwise and variable, has been offered for describing analogous phenomena. The relevant non-linear equation of motion has been derived with regard for excitation and dissipation. As the result of numerical calculations the possibility of existence of various non-linear phenomena in such systems, including the size dependence of a chain of oscillators and the super-sensitivity effect, i.e., a gigantic response of the model system to super-weak periodical external excitements at SLF has been found.