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We consider the problem of stabilization to zero of semilinear normalparabolic equations connected with the 3D Helmholtz system with periodicboundary conditions and arbitrary initial datum. This problem was previouslystudied in \cite{FSh16}. As it was recently revealed, the control functionsuggested in that work contains a term impeding transference the stabilizationconstruction on the 3D Helmholtz system. The main concern of this article is toprove that this term is not necessary for the stabilization result, andtherefore the control function can be changed by a proper way.

On the nonlocal stabilization by starting control of the normal equation generated from Helmholtz system