We study the dynamics of a network consisting of N diffusively coupled, stable- limit-cycle oscillators on which individual frequencies are parametrized by . We introduce a learning rule which influences the wk by driving the system towards a consensual oscillatory state in which all oscillators share a common frequency . We are able to analytically calculate . The network topology strongly affects the relaxation rate but not the ultimate consensual . We report numerical simulations to show the learning mechanisms at work and confirm our theoretical assertions.