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An important finding is that the catastrophic characteristic index D (i.e., the bifurcation set of the cusp catastrophe model) drastically increases to a high peak value and then quickly drops close to instability.
The 2003 blackout occurred in N.E. North America is partly because of the lack of supportive applications when the system is close to instability [3].
From a synergetics point of view, the brain is in general viewed as a self-organizing pattern forming system that operates close to instability points [14].
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The approach to the four distinct bifurcation classes is controlled via the parameters listed in Fig. 4. The results for each of the four subthreshold experiments are displayed in three layers I III, with the topmost layer being closest to instability.
The shape of the scaling exponent curves in Figs. 6, 7 and 8 features the dynamics of the time series complexity close to its instability.
Small wonder that Romania, which sees itself unnervingly close to regional instability, feels the need to generate a political consensus, amp up its defensive capabilities, and reestablish historical ties with Moldova.
Close to the instability point at σ = 1 the dynamical repertoire of cortical tissue is increased.
Being close to the instability point dramatically changes the dynamical repertoire.
Overall these findings indicate that actin cortices are close to an instability threshold; small changes in the composition of the system, or in the activity of its components, can lead to dramatic changes in the global characteristics of the system.
We sample the fluctuation characteristics of the model at three distinct steady-state coordinates, labeled I, II, III in Figs. 4 6, representing a closer and closer approach to instability threshold.
Microstructural disorder affects the plastic deformation behavior and surface excess elasticity might modify elastic response, yet we relate the anomalous compliance and the immediate yield onset to an atomistic origin: the large surface-induced prestress induces elastic shear that brings some regions in the material close to the shear instability of the generalized stacking fault energy curve.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com