  We present the multicomponent functionalized free energies that characterize
the low-energy packings of amphiphilic molecules within a membrane through a
correspondence to connecting orbits within a reduced dynamical system. To each
connecting orbits we associate a manifold of low energy membrane-type
configurations parameterized by a large class of admissible interfaces. The
normal coercivity of the manifolds is established through criteria depending
solely on the structure of the associated connecting orbit. We present a class
of examples that arise naturally from geometric singular perturbation
techniques, focusing on a model that characterizes the stabilizing role of
cholesterol-like glycolipids within phospholipid membranes.
