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However, the reason for this difficulty can also be used to design actuators that utilize these material and geometric non-linearities to obtain multiple stable equilibria.
Success of the pumpkin balloon for NASA requires a thorough understanding of the phenomenon of multiple stable equilibria and developing of means for the quantitative assessment of design measures that prevent the occurrence of undesired equilibrium.
Different equilibria can be reached from different initial concentrations, if the equations possess multiple stable equilibria.
We also focus only on payoff structures typical for interactions involving reputation, repeated interaction, multi-stage games, and contingent behavior that readily generate multiple stable equilibria.
A recurrent theme is endogenous feedback or social interaction creating tipping points that separate multiple stable equilibria involving lower and higher levels of corruption.
However, we have shown that details of TF-promoter interactions can be a critical determinant for a regulatory network to exhibit multiple stable equilibria.
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The existence of multiple scenarios is due to the existence of multiple, locally stable equilibria or limit cycles in a coevolutionary system composed of three species (Fig. 7, 8, S3).
Our findings are consistent with multiple stable corruption equilibria, as well as with a world where voters are more responsive to corruption signals more common in their environment.
Figure 1 shows a system with multiple stable states, such that the system can move into different states, with different equilibria, over time as conditions change.
Thin black lines are unstable equilibria, red are stable equilibria, green and blue circles are stable and unstable limit cycles.
Definition 2 We define the equilibria, stable equilibria, attractors, unconditional equilibria, unconditional stable equilibria and unconditional attractors of a continuous function φ : U ⊂ R ¯ k → R ¯ to be those of φ ˆ.
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