A magnetic storage device comprising a network of flat magnetic cells on a substrate, the dimensions of each magnetic cell being chosen such that the cell is in a vortex state, the vortex core of each cell having a magnetization with a first and second equilibrium position in the opposite direction and roughly perpendicular to the plane of said cell, each of said two positions representing a piece of binary information, said device being characterized in that it comprises means (3, 5, 8a, 8b) for writing binary information to be stored in the cells, said means (3, 5, 8a, 8b) of writing including means for selectively and simultaneously applying the following in the vicinity of each cell: - a first static magnetic field with roughly perpendicular polarization to said cellular plane; - a radio frequency magnetic field with linear polarization, including two right and left circular polarizations roughly parallel to the plane of said cell, such that: - the simultaneous application of said first static magnetic field and said radio frequency magnetic field at a first frequency on the selected cell causes: o a switch in the magnetization direction of said vortex core located in the first equilibrium position toward the second equilibrium position under the effect of a circular movement of the core around said first equilibrium position, causing the reversal in the magnetization, said vortex core turning by being coupled to one of the two circular polarizations; o the maintenance of the magnetization direction of said vortex core located in the second equilibrium position; - the simultaneous application of said first static magnetic field and said radio frequency magnetic field at a second frequency that is different than said first frequency on the selected cell causes: o a switch in the magnetization direction of said vortex core located in the second equilibrium position toward the first equilibrium position under the effect of a circular movement of said core around said second equilibrium position, causing the reversal in the magnetization, said vortex core turning by being coupled to one of the two circular polarizations; o the maintenance of the magnetization direction of said vortex core located in the first equilibrium position. - a first static magnetic field with roughly perpendicular polarization to said cellular plane; - a radio frequency magnetic field with linear polarization, including two right and left circular polarizations roughly parallel to the plane of said cell, - the simultaneous application of said first static magnetic field and said radio frequency magnetic field at a first frequency on the selected cell causes: o a switch in the magnetization direction of said vortex core located in the first equilibrium position toward the second equilibrium position under the effect of a circular movement of the core around said first equilibrium position, causing the reversal in the magnetization, said vortex core turning by being coupled to one of the two circular polarizations; o the maintenance of the magnetization direction of said vortex core located in the second equilibrium position; o a switch in the magnetization direction of said vortex core located in the first equilibrium position toward the second equilibrium position under the effect of a circular movement of the core around said first equilibrium position, causing the reversal in the magnetization, said vortex core turning by being coupled to one of the two circular polarizations; o the maintenance of the magnetization direction of said vortex core located in the second equilibrium position; - the simultaneous application of said first static magnetic field and said radio frequency magnetic field at a second frequency that is different than said first frequency on the selected cell causes: o a switch in the magnetization direction of said vortex core located in the second equilibrium position toward the first equilibrium position under the effect of a circular movement of said core around said second equilibrium position, causing the reversal in the magnetization, said vortex core turning by being coupled to one of the two circular polarizations; o the maintenance of the magnetization direction of said vortex core located in the first equilibrium position. o a switch in the magnetization direction of said vortex core located in the second equilibrium position toward the first equilibrium position under the effect of a circular movement of said core around said second equilibrium position, causing the reversal in the magnetization, said vortex core turning by being coupled to one of the two circular polarizations; o the maintenance of the magnetization direction of said vortex core located in the first equilibrium position.