TY - INPR A1 - Demircan, Ayhan A1 - Seehafer, Norbert T1 - Nonlinear square patterns in Rayleigh-BĂ©nard convection N2 - We numerically investigate nonlinear asymmetric square patterns in a horizontal convection layer with up-down reflection symmetry. As a novel feature we find the patterns to appear via the skewed varicose instability of rolls. The time-independent nonlinear state is generated by two unstable checkerboard (symmetric square) patterns and their nonlinear interaction. As the bouyancy forces increase, the interacting modes give rise to bifurcations leading to a periodic alternation between a nonequilateral hexagonal pattern and the square pattern or to different kinds of standing oscillations. T3 - NLD Preprints - 62 Y1 - 2007 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/1377 UR - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-14986 ER -