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Reconfiguring smart structures using phase space connections

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Figure 1. springs are pinned at both ends and the displacement is assumed to be constrained to1 degree-of-freedom buckling beam model comprising a single lumpedmass m with spring constant k and displacement x from (unstable) equilibrium
Figure 2. Effective potential V (q, µ) for a 1 mass chain with a single lumped mass.Single equilibrium �q0 for µ < 0 with two new equilibria �q1 and �q2 appearing after thesupercriticial bifurcation at µ = 0.
Figure 4. Heteroclininc connection between two distant equilibria  Eui and Eui+1 onthe same energy surface in phase space, formed by the intersection of the unstablemanifold W u of Eui and stable manifold W s of Eui+1
Figure 5. springs are pinned at both ends and the displacement is assumed to be constrained to 2 degree-of-freedom buckling beam model comprising two lumped massesm with spring constants k1,2 and displacements x1,2 from (unstable) equilibrium
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