Spiral waves are investigated in oscillatory media exhibiting period-d
oubling bifurcations. In the period-doubled and chaotic regimes, the r
otational symmetry of the spiral wave is broken. The loss of symmetry
takes the form of synchronization defect lines where the phase of the
local oscillation changes by multiples of 2 pi. The internal structure
and geometry of these synchronization defects is studied and a discus
sion of the possible types of defect lines is presented.