Physics
Scientific paper
Nov 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010njph...12k3035a&link_type=abstract
New Journal of Physics, Volume 12, Issue 11, pp. 113035 (2010).
Physics
Scientific paper
We present numerical results of secondarily forward bifurcating, stationary flow states that mediate transitions between travelling helical waves (spirals). These so-called mixed-cross-spirals (MCSs) can be seen as nonlinear superpositions of spiral solutions with different helicity and pitch. Thereby, the contribution of the respective spiral to the entire MCS varies continuously with the control parameters. Furthermore, MCSs connect the bifurcation branches of the involved spirals, even when both spiral pitches differ. This makes them interesting for pattern-forming systems in general. The bifurcation scenarios of MCSs differ from the well-studied cross-spiral-mediated transitions between mirror-symmetric left- and right-winding spirals, even in the case of MCS solutions that start and end in the same spiral branch.
The structure, spatiotemporal dynamics, bifurcation behaviour and stability of MCSs are elucidated in detail for the axially periodic Taylor-Couette system as a prototypical reference for pattern formation. The results are obtained by solving the full Navier-Stokes equations with a combination code of a finite differences and a Galerkin method.
Altmeyer S.
Hoffmann Ch
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