The spin-torque switching of metallic nanopillar spin-valves showing strong perpendicular anisotropy are studied. The magnetic states of the layers depend on extrinsic parameters such as the magnetic field and the DC current applied to the device. A state diagram presents a comprehensive graph the role of those parameters on the spin-valve magnetic response. After explaining how state diagrams can be built and the different possible representation, experimental state diagram are studied for perpendicular devices and the influence of lateral size, temperature and field orientation are shown. An analytical model of a purely uniaxial system is presented. It is shown that this simple model does not properly reflect the experimental results whereas if the symmetry is broken a qualitative agreement is obtained. Finally the possible origins of the symmetry break are discussed in the light of analytical model and numerical simulations.2