Competition between left and right spiral vortices and their combinations with different or equal amplitudes

ORAL

Abstract

Stability, 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. Their solution provides 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.

Authors

  • Manfred L\"{u}cke

  • Alexander Pinter

  • Christian Hoffmann

    • University Saarbr\"{u}cken