A "dissipative pulsar" i.e. a stationary structure with the oscillating
spatial period has been studied in the FitzHugh-Nagumo model. This
structure occurs in response to a local perturbation of the uniform
initial state. The evolution of a dissipative pulsar strongly depends on
diffusivity as well as on the initial amplitude and the scale of
perturbation. Dissipative pulsars were found to occur both in excitable
and in oscillatory systems.