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Sufficient conditions for local stability of the equilibria and change of stability are derived in various cases.
It is shown that, when the damping is positive, the change of stability of the steady state response cannot happen through a Hopf bifurcation.
So, it does not have any change of stability.
There is a positive real (r_{0} ) beyond which there is a change of stability.
A change of stability occurs if g X = ℓ X as Equation 1 undergoes a saddle-node bifurcation.
All this is (at least conjecturally) related to enumerative invariants, virtual cycles, and wall-crossing formulae under change of stability condition.
Similar(44)
In particular, the dynamics of the body frame, though formally given by the classical Euler equations, experiences changes of stability in the principal directions related to the roto-orbital coupling.
We have also applied our methodology to predict changes of stability resulting from mutations occurring in the tumour suppressor protein p53.
To estimate the contribution of amino acids to protein stability, the scale developed by Takano and Yutani (2001) was used to calculate quantificationally changes of stability in the homologous proteins caused by the amino acid substitutions.
Benz and co-workers investigated changes of stability during 4-point-bending and torsion, but they only achieved sufficient 2-nail flexible intramedullary fixation for testing in 3 out of 10 canine bones [ 39].
Fig. 5 Change of thermal stability and storage stability of immobilized SMDH and immobilized laccase over time.
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