Approximately 20% of percutaneous coronary interventions (PCIs) are performed to treat coronary bifurcations. PCIs in bifurcation lesions have been associated with lower procedural success rates and worse clinical outcomes than non-bifurcation lesions. In addition, PCIs in bifurcation are renowned for being technically demanding. Indeed, there are several challenges in percutaneous treatment of...

In this paper, the bifurcation analysis for Burgers mapping has been studied. The existence and stability of the fixed points of this map was derived. The conditions of existence for pitchfork bifurcation, flip bifurcation and Neimark-Sacker bifurcation are derived by using center manifold theorem and bifurcation theory. The control of the map around stable NeimarkSacker bifurcation has been ac...

We present an unfolding of the codimension-two scenario of the simultaneous occurrence of a discontinuous bifurcation and an Andronov-Hopf bifurcation in a piecewise-smooth, continuous system of autonomous ordinary differential equations in the plane. We find that the Hopf cycle undergoes a grazing bifurcation that may be very shortly followed by a saddle-node bifurcation of the orbit. We deriv...

nonlinear hunting speeds of railway vehicles running on a tangent track are analytically obtained using hopf bifurcation theory in this paper. the railway vehicle model consists of nonlinear primary yaw dampers, nonlinear flange contact stiffness as well as the clearance between the wheel flange and rail tread. linear and nonlinear critical speeds are obtained using bogoliubov method. a compreh...

OBJECTIVES We aimed to investigate the anatomical and morphological characterization of coronary bifurcation lesions. STUDY DESIGN The study population consisted of 542 stable patients who underwent coronary angiography. Bifurcation lesions were defined as a lesion >=50% diameter stenosis involving a main branch and/or contiguous side branch with a diameter of >=2.5 mm. Using these criteria, ...

Various bifurcations exist in nonlinear dynamical systems such as complex circuits, networks, and devices. Bifurcations can be important and beneficial if they are under appropriate control. Bifurcation control and anti-control deal with modification of system bifurcative characteristics by a designed control input. Typical bifurcation control and anti-control objectives include delaying the on...

this paper investigates the dynamics and stability properties of a discrete-time lotka-volterra type system. we first analyze stability of the fixed points and the existence of local bifurcations. our analysis shows the presence of rich variety of local bifurcations, namely, stable fixed points; in which population numbers remain constant, periodic cycles; in which population numbers oscillate amo...

The coalescence of a Hopf bifurcation with a codimension-two cusp bifurcation of equilibrium points yields a codimension-three bifurcation with rich dynamic behavior. This paper presents a comprehensive study of this cusp-Hopf bifurcation on the three-dimensional center manifold. It is based on truncated normal form equations, which have a phase-shift symmetry yielding a further reduction to a ...

This paper presents a method of calculating an interval including a bifurcation point. Turning points, simple bifurcation points, symmetry breaking bifurcation points and hysteresis points are calculated with guaranteed accuracy by the extended systems for them and by the Krawczyk-based interval validation method. Taking several examples, the results of validation are also presented. key words:...