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[en] We analyze analytically and numerically the origin of the singularity in the course of the collapse of a wormhole with the exotic scalar field Ψ with negative energy density, and with this field Ψ together with the ordered magnetic field H. We do this under the simplifying assumptions of the spherical symmetry and that in the vicinity of the singularity the solution of the Einstein equations depends only on one coordinate (the homogeneous approximation). In the framework of these assumptions we found the principal difference between the case of the collapse of the ordinary scalar field Φ with the positive energy density together with an ordered magnetic field H and the collapse of the exotic scalar field Ψ together with the magnetic field H. The later case is important for the possible astrophysical manifestation of the wormholes.