Bifurcation Analysis of the Eckhaus Instability

Abstract

The bifurcation diagram for the Eckhaus instability is presented, based on the Ginzburg-Landau equation in a finite domain with either free-slip or periodic boundary conditions. The conductive state is shown to undergo a sequence of destabilizing bifurcations giving rise to branches of pure-mode states; all branches but the first are necessarily unstable at… (More)

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