Localized pinning states in closed containers: homoclinic snaking without bistability
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Binary mixtures with a negative separation ratio are known to exhibit time-independent spatially localized convection when heated from below. Numerical continuation of such states in a closed two-dimensional container with experimental boundary conditions and parameter values reveals the presence of a pinning region in Rayleigh number with multiple stable localized states but no bistability between the conduction state and an independent container-filling state. An explanation for this unusual behavior is offered.
CitationMercader, M. [et al.]. Localized pinning states in closed containers: homoclinic snaking without bistability. "Physical review E: statistical, nonlinear, and soft matter physics", Agost 2009, vol. 80, núm. 2.