Sentence examples for changes in the criticality from inspiring English sources

In this section, we show that the model reduction technique discussed above, when applied to slow-fast systems with a Hopf bifurcation, may lead to changes in the criticality of the Hopf bifurcation.

This final codimension-2 bifurcation amounts to a change in the criticality of the homoclinic bifurcation.

We note that a change in the criticality of the Hopf bifurcation alone may not make a large change to the overall observed dynamics.

More importantly, we show that the O terms in the slow equation can produce an O(1) change in the first Lyapunov coefficient which in turn may lead to a change of the criticality of the Hopf bifurcation in the full system compared with the criticality of the associated Hopf bifurcation in the layer problem.

The paper looks at major changes instigated by step changes in safety criticality.

Importantly,proximity to criticality amplifies the role of even small changes in the neutrino-matter cou-plings, and such changes can together add to produce outsized effects.

Again, the criticality of the Hopf bifurcation has changed: the criticality of the Hopf bifurcation in the layer problem is not the same as the criticality of the corresponding Hopf bifurcation in the full system.

The timetable may include short, middle and long term changes, depending on the criticalities detected.

There are no such difficulties in computing the criticality of Hopf bifurcations that involve slow variables.

[Editors' note: a previous version of this study was rejected after peer review, but the authors submitted for reconsideration. The two decision letters after peer review are shown below.] Thank you for choosing to send your work entitled "Injury-induced changes in primary afferent excitability: criticality, degeneracy, and implications for neuropathic pain" for consideration at eLife.

[Editors' note: what now follows is the decision letter after the authors submitted for further consideration.] Thank you for sending your work entitled "Injury-induced changes in primary afferent excitability: criticality, degeneracy, and implications for neuropathic pain" for consideration at eLife.