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A mechanism of generation of a toroidal component of large scale magneticfield, leading to the reconstruction of the pulsar magnetospheres is presented.In order to understand twisting of magnetic field lines, we investigatekinematics of a plasma stream rotating in the pulsar magnetosphere. Studying anexact set of equations describing the behavior of relativistic plasma flows,the increment of the curvature drift instability is derived, and estimated for$1s$ pulsars. It is shown that a new parametric mechanism is very efficient andcan explain rotation energy pumping in the pulsar magnetospheres.

On the reconstruction of a magnetosphere of pulsars nearby the light cylinder surface