A general and exact critical condition of saddle-node bifurcation is derived in closed form for the buck converter. The critical condition is helpful for the converter designers to predict or prevent some jump instabilities or coexistence of multiple solutions associated with the saddle-node bifurcation. Some previously known critical conditions become special cases in this generalized framewor...

We investigate the normal form of a subcritical Hopf bifurcation subjected to time-delayed feedback control. Bifurcation diagrams which cover time-dependent states as well are obtained by analytical means. The computations show that unstable limit cycles with an odd number of positive Floquet exponents can be stabilized by time-delayed feedback control, contrary to incorrect claims in the liter...

Controllability properties are studied for control-affine systems depending on a parameter α and with constrained control values. The uncontrolled in dimension two three subject to homoclinic bifurcation. This generates families of sets the involved vector fields size range. A new β given by split function bifurcation determines behavior these sets. It is also shown that there regions where equ...

percutaneous coronary intervention in the setting of coronary bifurcation lesions is associated with increased risk for complications. the goal of this manuscript is to review the currently available classifications for coronary artery bifurcation lesions with a guide to the use of specific coronary bifurcation techniques based on lesion characteristics

The feedback control of border collision bifurcations is considered for two-dimensional discrete-time systems. These are bifurcations that can occur when a fixed point of a piecewise smooth system crosses the border between two regions of smooth operation. The goal of the control effort is to modify the bifurcation so that the bifurcated steady state is locally unique and locally attracting. In...

Background: Atherosclerosis generally occurs in the blood vessels with angulation or curvature, however, association between coronary bifurcation angle and coronary artery disease needs to be further clarified when compared to normal patients. Objectives: The aim of this study is to determine the relationship between left coronary bifurcation angle and development of coronary artery disease whe...

mong the various bifurcation phenomena that may be observed in dynamical systems, gluing bifurcation is an important class of homoclinic bifurcation. The Z2 (or the so called reflection) symmetry plays a crucial role in occurrence of such bifurcation. At the bifurcation point two homoclinic orbits, which are mirror image of each other, appear as glued together at the saddle and thus forming in ...

Higher order converters, without an external voltage control loop, have been known not to exhibit a fast-slow scale bifurcation interaction, as the slow-scale bifurcation has generally been believed to be caused by parameter changes in the outer loop. In this paper, it is shown that a current-mode controlled Ćuk converter can exhibit an interaction between fast-scale and slow-scale bifurcations...