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At (a=a_{h}), (p_) changes stability and a subcritical singular Andronov Hopf bifurcation takes place; the large relaxation cycle persists.
On this surface, there exists a curve (C=frac{3}{4} + O varepsilon )) along which the homoclinic changes stability (resonant (mathit{HOM}_{ell})): for lower values of C, the homoclinic is stable, for larger values it is unstable.
Equally, the long-term posttreatment changes (stability evaluation) were measured using the numerical increase in the index score (T3 − T2) and the percentage of increase was determined by the formula T3 − T2/T1 × 100 [24].
A subcritical Hopf bifurcation appears generally when an equilibrium with complex conjugate eigenvalues changes stability (as one parameter of choice is varied), so that its Jacobian's eigenvalues transition from having positive real part (equilibrium is an unstable spiral) to negative real part (stable spiral), through a pure imaginary stage.
The points in the parameter space where the steady-state changes stability and the limit cycle appears constitute the Hopf Bifurcation branches.
In Figure 1, if the p-nullcline is moved to the right, causing the zero of f (v), f zero, to increase, the co-existence steady state changes stability, and the stable limit cycle disappears via a Hopf bifurcation.
Similar(53)
Bell Shakespeare is likely still adjusting after significant change (stability might be helped by the news in March that the company is receiving $1m in government funding to secure a permanent home).
Again, we compared patients reporting any improvement on the external criterion (n = 33) to those reporting no change (stability, n = 34).
In addition to affecting translation, base-pairing between a sRNA and its target frequently leads to changed stability of both sRNA and mRNA.
Change scores were calculated by subtracting 2012 scores from 2007 scores and then categorized with negative mean change scores indicating worsening; zero mean change scores no change (stability) and positive mean change scores indicating improvement across time.
The three possible conditions of the human constitution are violent change, gentle change, and stability.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com