The structure of spiral waves is investigated in super-excitable
reaction-diffusion systems where the local dynamics exhibits multi-looped phase
space trajectories. It is shown that such systems support stable spiral waves
with broken symmetry and complex temporal dynamics. The main structural
features of such waves, synchronization defect lines, are demonstrated to be
similar to those of spiral waves in systems with complex-oscillatory dynamics.Comment: to appear in International Journal of Bifurcation and Chao