A problem of description of low-energy nuclear dynamics and derivation of multidimensional potential energy surface, depending on several collective degrees of freedom and allowing one to perform a unified analysis of the processes of deep-inelastic scattering, fusion and fission, is discussed in the paper. A unified description is required due to strong coupling and significant overlapping of these reaction channels in heavy nuclear systems used, in particular, for synthesis of superheavy elements. Multidimensional adiabatic potential is derived basing on extended version of the two-center shell model. It has correct asymptotic value and height of the Coulomb barrier in the entrance channel (fusion) and appropriate behavior in the exit one, giving required mass and energy distributions of reaction products and fission fragments. Derived driving potential is proposed to be used for adequate dynamic analysis of low-energy interactions of heavy nuclei.

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