We consider the problem to determine the two dimensional water waves of permanent configuration. The problem is a bifurcation problem ([16]). In this paper, we define a mapping G between two Hilbert spaces and prove that the solutions of the above problem are in one-to-one correspondence to the zeros of the mapping G. Our most important contribution in this paper is to clarify the role of the a...

In this paper, we investigate the problem of bifurcation control for a delayed logistic growth model. By choosing the timedelay as the bifurcation parameter, we present a Proportional - Derivative (PD) Controller to control Hopf bifurcation. We show that the onset of Hopf bifurcation can be delayed or advanced via a PD Controller by setting proper controlling parameter. Under consideration mode...

This paper deals with a ratio-dependent functional response predator-prey model with a fractional order derivative. The ratio-dependent models are very interesting, since they expose neither the paradox of enrichment nor the biological control paradox. We study the local stability of equilibria of the original system and its discretized counterpart. We show that the discretized system, which is...

In aerospace engine delivery systems, “one-in-two-out” bifurcation structures are commonly used for flow distribution to downstream pipelines. There two common in aircraft engines: the planar orthogonal and spatial bifurcation. By adjusting supply upstream cross-sectional diameter downstream, branches can be adjusted, i.e., “splitting ratio” changes. this paper, a dismantling flexible experimen...

Kabani river is a 7 order stream with a basin area of 1647 km. There are 4 sixth order and11 fifth order sub-basins. This analysis is mainly confined to 11 fifth order sub basins. Morphometric indices like stream ordering, bifurcation ratio, stream length, drainage density, stream frequency, form factor, elongation ratio, circularity ratio, constant of channel maintenance, asymmetry factor, sin...

BACKGROUND Some groups, including ours, have been generating arterial tree models using constrained constructive optimization (CCO). Arterial trees have been grown to arbitrary resolution without input of anatomical data. We performed this study to learn about the shortcomings that might have resulted from neglecting the anatomical data in CCO models. METHODS In a total of 450 segments obtain...

BACKGROUND Major side branch (SB) occlusion is one of the most serious complications during percutaneous coronary intervention (PCI) for bifurcation lesions. We aimed to characterize the incidence and predictors of major SB occlusion during coronary bifurcation intervention. METHODS We selected consecutive patients undergoing PCI (using one stent or provisional two stent strategy) for bifurca...

The coronary vasculature is characterized by highly asymmetric diameters at bifurcations, which may be an important determinant of flow distribution. To facilitate accurate reconstruction of the coronary network for hemodynamic analysis, we introduce a statistical data set of the diameter asymmetry at bifurcations based on morphometric data of the porcine coronary arterial and venous trees. The...