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The energy landscape of such a chain is extremely wiggly which gives rise to multiple equilibrium configurations and results in a hysteretic evolution and a possibility of trapping.
Of key importance is the analysis of the convergence and robustness of molecular-based optimization methods, including the characterization of the multiple equilibrium configurations that might arise from the adoption of non-convex potentials.
Excess in skin material of a pneumatic envelope beyond what is required for minimum enclosure of a gas bubble is a necessary but by no means sufficient condition for the existence of multiple equilibrium configurations for that pneumatic envelope.
While the specific problem studied is a simplification, the overall concept is to potentially take advantage of structures which have multiple equilibrium configurations and expend power only to change the structure from one configuration to another rather than to continuously expend power to hold the structure in the changed configuration.
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The straight equilibrium configuration bifurcates in multiple equilibrium positions in the supercritical regime.
Once, the equilibrium configurations have multiple rings that are nearly formed from triangular lattices.
In the supercritical transport speed regime, the straight equilibrium configuration becomes unstable and bifurcate in multiple equilibrium positions.
Multiple equilibrium conditions.
(1) Multiple equilibrium conditions .
Equilibrium configurations are determined first.
Closed form formulae of the equilibrium configurations are presented.
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