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It is found that the vaporization case is always stable.
It is shown that the IIR fractional integrator is always stable.
The radical which is formed initially is always stable owing to its symmetrical 'viologen' structure.
In the difference resonance, there is only trivial zero response which is always stable.
For this kind of configuration, the attitude is always stable by spinning itself.
It is also shown that the backward whirl of the rotor system is always stable.
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However, LU steps are not necessarily stable, while QR steps are always stable.
One dimensional methods are always stable by the use of zeros of Legendre polynomials as inner flux points.
The strained In0.4Ga0.6As on GaAs nanorings of Hanke et al. (2007) are always stable and this is in accordance with the findings of the analysis.
A multiple-time-scale formulation is also presented to study the stability when the beam has constant axial acceleration/deceleration. In such situations, an accelerating beam is found to be always stable, whereas a decelerating beam may undergo ephemeral instability.
Furthermore, bifurcation analysis reveals that the limit cycles associated with the first Brusselator are always stable, while that generated by the second Brusselator may be unstable if the parameter values are chosen far from the stability boundary.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com