N. Gottschalk et al., PARAMETRIC RESONANCE OF ROTATING SPIRAL WAVES UNDER BROKEN ROTATIONALSYMMETRY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(6), 1995, pp. 5731-5734
Numerical simulations and analytical arguments for the resonant behavi
or of periodically perturbed rotating spiral waves in systems with bro
ken rotational symmetry are presented. Resonance, i.e., the displaceme
nt of the rotation center along a straight line, appears always if the
perturbed rotation does not match the symmetry given by the active me
dium supporting the wave. For the Z(2) case, simulations in a simple t
wo-component reaction-diffusion model have been carried out. For the c
ase of arbitrary rotational symmetries Z(d), a general resonance condi
tion is derived.