in this article, vehicle cornering stability and brake stabilization via bifurcation analysis has been investigated. in order to extract the governing equations of motion, a nonlinear four-wheeled vehicle model with two degrees of freedom has been developed. using the continuation software package matcont a stability analysis based on phase plane analysis and bifurcation of equilibrium is perfo...

In this chapter, we present some emerging directions in bifurcation control in continuous-time dynamical systems. Specifically we discuss two unconventional bifurcation control problems: anti-control of bifurcations and nonsmooth bifurcation control. Anti-control of bifurcation means introducing a new bifurcation at desired location with preferred properties by appropriate control. Nonsmooth bi...

We present direct numerical simulations of Boussinesq and non-Boussinesq Rayleigh–Bénard convection in a rigid box containing a perfect gas. For small stratifications, which includes Boussinesq fluids, the first instability after steady rolls was an oscillatory instability ~a Hopf bifurcation!. The resulting convection was characterized by two hot and two cold blobs circulating each convective ...

The classical and quantum mechanics of a spherical pendulum are worked out, including the dynamics of a suspending frame with moment of inertia . The presence of two separatrices in the bifurcation diagram of the energy-momentum mapping has its mathematical expression in the hyperel-liptic nature of the problem. Nevertheless, numerical computation allows to obtain the action variable representa...

BACKGROUND the purpose of this study was to analyze the in vivo distribution of absolute wall shear stress (WSS(abs)) and oscillatory shear index (OSI) in the carotid bifurcation and to evaluate its dependence on bifurcation geometry, the presence of internal carotid artery (ICA) stenosis, and recanalization therapy. METHODS AND RESULTS time-resolved 3D blood flow was acquired with flow-sensi...

BACKGROUND AND PURPOSE Plaque formation at arterial bifurcations depends on vessel anatomy, particularly the relative sizes of the branches, and the ratio of the outflow to inflow area. The facts that carotid plaque is more common in men and that carotid bruits in the absence of stenosis are more frequent in women raise the possibility that there are sex differences in carotid bifurcation anato...

The aim of this study was to investigate the effect of conducting boundaries on the onset of convection in a binary fluid-saturated porous layer. The isotropic saturated porous layer is bounded by two impermeable but thermally conducting plates, subjected to a constant heat flux. These plates have identical conductivity. Moreover, the conductivity of the plates is generally different from the p...