Novel localized states in binary uid convection in slightly inclined rectangular cells
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We study the e ect of a slight inclination of the cell on the localized steady states (convectons) that arise in binary uid convection in elongated rectangular cells heated from below. Convectons organize in snaking branches that evolve towards cell lling states as the amplitude increases. Using numerical continuation we follow the low amplitude part of these solution branches with increasing thermal gradients. Instead of connecting to the origin, the branches lead to new localized solutions with di erent spatial structure. The numerical continuation of these solutions allowing the inclination angle to vary, reveals new families of spatially localized steady states that coexist for the same values of the inclination angle and heating. Strikingly, these new families of coexisting states exist also for the non-inclined cell.