  Within the kinetic energy driven superconducting mechanism, the magnetic
nature of cuprate superconductors is discussed. It is shown that the
superconducting state is controlled by both charge carrier gap function and
quasiparticle coherent weight. This quasiparticle coherent weight grows
linearly with the hole doping concentration in the underdoped and optimally
doped regimes, and then decreases with doping in the overdoped regime, which
leads to that the maximal superconducting transition temperature occurs around
the optimal doping, and then decreases in both underdoped and overdoped
regimes. Within this framework, we calculate the dynamical spin structure
factor of cuprate superconductors, and reproduce all main features of inelastic
neutron scattering experiments, including the energy dependence of the
incommensurate magnetic scattering at both low and high energies and
commensurate resonance at intermediate energy.
