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Under these conditions, it was shown in [40] that there will always be static solutions, nontrivial along the extra coordinate y , satisfying the (static) field equation 

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where a prime denotes a derivative with respect to y . The profiles of these solutions, satisfy- ing Dirichlet boundary conditions, resemble that of a kink solution patched to an anti-kink in the middle of the interval. The possible solutions were classified in two groups, namely those with nodes in the interval (multiple kink-antikink solutions patched together) and those with no nodes, vanishing only at the end-points of the orbifold (see Fig. 1). It was shown that all static kink solutions with nodes are perturbatively unstable, whereas the sta- bility of nodeless solutions depends on the parameters of the model in a particularly simple way. 

The Dirichlet solutions of Eq. (2) with no nodes in the interval form a continuous one- parameter family of functions. A simple choice for the parameter is the amplitude A of the 

