  We expose a mechanism for the dynamical generation and control of light
states with diverse topologies in spiraling guiding structures. Specifically,
we show that spiraling shallow refractive index landscapes induce coupling and
periodic energy exchange between states with different topological charges.
Such a resonant effect enables excitation of optical vortices by vortex-free
inputs and allows the output topological charge of the beam to be controlled.
The presence of nonlinearity results in a strong asymmetrization of the
resonant curves and a shift of the resonant frequencies. Resonant vortex
dynamic generation, including revivals, is shown to be possible not only in
waveguides mediated by total internal reflection but also in Bragg-guiding
hollow-core geometries.
