Drift instabilities of cellular patterns

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Abstract
We report basic mechanisms that generate a secondary drift instability of a stationary cellular pattern or a standing wave pattern. In both cases, we show how the “drift bifurcation” is associated with a space-reflection symmetry-breaking. When the most unstable mode comes in at finite wavenumber instead of zero wavenumber, the drift instability can be pre-empted by an oscillatory instability of the basic pattern wavenumber. We interpret different recent experimental observations within this framework

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