Out of the murk, a steady throb emerged.
The liquid nitrogen cooling means that the board shoots out a steady mist, emerging from the sides of the board.
From (mathit{PF}_{2}) an unstable asymmetric steady state emerges, which becomes stable at a saddle-node bifurcation (mathit{SN}_{3}) at (alphaapprox0.86).
if (beta^{2} frac{1-2alpha+ 2alpha^{3} - alpha^{4}}{12} < 1), we find a traveling wave with negative speed; if (beta^{2} frac{1-2alpha+ 2alpha^{3} - alpha^{4}}{12} geq1), then a discontinuous steady state emerges.
We now have (int_{0}^{1} f u),du < 0), so that the following situations are easily shown to hold as a consequence of the second part of the proof of Proposition 5.2: if (beta^{2} frac{1-2alpha+ 2alpha^{3} - alpha^{4}}{12} < 1), we find a traveling wave with negative speed; if (beta^{2} frac{1-2alpha+ 2alpha^{3} - alpha^{4}}{12} geq1), then a discontinuous steady state emerges.
We explore here the possibility that copy numbers are selected by complex sociobiological interactions and are always in a dynamic steady state emerging out of conflicting levels of selection.
Below the critical level, the positive feedback is the dominant effect and a non-zero steady state emerges as the observed state.
In this case, with the above approximations, we see that (34) R ∗ = R tot k xr X ∗ k − r Y ∗ = Y tot k ry < R ∗ > k − y X ∗ = X tot k sx S k yx Y ∗ + k − x Thus the steady state emerges as the solution of the equation (35) R ∗ = α S 1 + β < R ∗ > with α and β defined exactly as above.
Another beat emerged, steady and industrial, with jackhammer sounds.
Once the "party of Lincoln", the GOP was, as late as a generation ago, led by George H.W. Bush and James Baker, in whose steady hands we emerged from the Cold War, and Congressional leaders like Howard Baker and Bob Michel who worked to forge consensus on critical issues of national concern.
