The critical values are determined by using a bifurcation indicator [3], [4], [5] and the bifurcated branches are computed by using an augmented system which was first introduced in solid mechanics [4], [6].
Unlike the classical plasticity framework, the initial thickness of the shear band and the strain rate distribution in both cases are predicted analytically using a bifurcation analysis.
Finally we show the existence of a global bifurcation for a Neumann problem involving the p ( x ) -Laplacian by using a bifurcation result in an abstract setting.
By using a bifurcation from a simple eigenvalue theorem of Crandall-Rabinowitz [24], we conclude that ( λ ∗, 0, …, 0 ) is a bifurcation point.
Quite recently, Rodríguez [9] and Ma [10] have given a topological proof and used a bifurcation theorem to study the structure of positive solutions of a difference equation.
Robustness with respect to perturbations of a single or at most two parameters simultaneously can be investigated using a bifurcation analysis package such as AUTO [7].
We used a bifurcation in both the Acacia and thrips clades that is an inferred point of parallel diversification, and therefore temporarily concordant, to estimate the relative timing between clades.
Methanococcus HdrABC can use an electron bifurcation mechanism and forms specific protein-protein interactions with the hydrogenase Vhu; formyl-methanofuran dehydrogenase, Fmd; and formate dehydrogenase, Fdh (11, 12).
This study used a fractal bifurcation bench model to compare 6 optimization sequences for coronary bifurcation provisional stenting, including 1 novel sequence without kissing balloon inflation (KBI), comprising initial proximal optimizing technique (POT) + side-branch inflation (SBI) + final POT, called "re-POT".
Boulant, N. et al. Quantum nondemolition readout using a Josephson bifurcation amplifier.
