Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2007-08-31
Phys. Rev. E 78, 015304(R), 1-4 (2008)
Nonlinear Sciences
Pattern Formation and Solitons
4 pages, 5 figures
Scientific paper
10.1103/PhysRevE.78.015304
A novel flow state consisting of two oppositely travelling waves (TWs) with oscillating amplitudes has been found in the counterrotating Taylor-Couette system by full numerical simulations. This structure bifurcates out of axially standing waves that are nonlinear superpositions of left and right handed spiral vortex waves with equal time-independent amplitudes. Beyond a critical driving the two spiral TW modes start to oscillate in counterphase due to a Hopf bifurcation. The trigger for this bifurcation is provided by a nonlinearly excited mode of different symmetry than the spiral TWs. A three-mode coupled amplitude equation model is presented that captures this bifurcation scenario. The mode-coupling between two symmetry degenerate critical modes and a nonlinearly excited one that is contained in the model can be expected to occur in other structure forming systems as well.
Hoffmann Ch
Lücke M.
Pinter Akos
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