Abstract
Spatiotemporally chaotic dynamics of transitional plane Couette flow may give rise to regular turbulent-laminar stripe patterns with a large-scale pattern wavelength and an oblique orientation to the laminar flow direction. How the stripe pattern forms remains an open problem. To understand stripe pattern spatiotemporal dynamics we identify unstable periodic orbits of the 3D Naiver-Stokes equations that show oblique large-scale spatial amplitude modulation and a temporal evolution of standing waves. The unstable periodic orbits are embedded in the edge of chaos in a symmetry subspace of plane Couette flow and thereby may mediate transition to and from turbulent flows with oblique patterns.
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