2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165169Stability, bifurcation properties, and the spatiotemporal behavior of different nonlinear combination structures of spiral vortices in the counter rotating Taylor-Couette system are investigated by full numerical simulations and by coupled amplitude equation approximations. Stable cross-spiral structures with continuously varying content of left and right spiral modes are found. They provide a stability transferring connection between the initially stable, axially counter propagating wave states of pure spirals and the axially standing waves of so-called ribbons that become stable slightly further away from onset of vortex flow.4 pages, 5 figuresFluid DynamicsPattern Formation and SolitonsComputational PhysicsCompetition between Traveling Fluid Waves of Left and Right Spiral Vortices and Their Different Amplitude Combinationstext