Search results for "bifurcation"

A novel 3-d reconstruction system for the assessment of bifurcation lesions treated by the mini-crush technique.

2010

Background: Conventional two-dimensional angiography lacks the ability to properly image the true bifurcation geometry, and its percutaneous coronary intervention-induced changes in the clinical setting. Methods and Results: A novel three-dimensional reconstruction system was investigated by retrospectively analyzing 39 lesions in 35 consecutive patients with coronary bifurcation disease treated with the mini-crush technique. At baseline, significant correlations were proved between two- and three-dimensional systems in terms of either reference vessel diameter (R 2 = 0.68 and 0.29 for main and side branches, respectively), minimum lumen diameter (R 2 = 0.73 and 0.36), stenosis diameter (R …

Long-Term Results of Stenting of the Aortic Bifurcation

2012

Background To evaluate the long-term results in a multicentric continuous series of narrowing lesions of the aortic bifurcation treated with a kissing stent. Methods From January, 1st 1999 to the December, 31st 2001, all of the patients ( n = 80) presenting with stenosis of the aortic bifurcation ( n = 15) and/or the 2 common iliac arteries ( n = 65), treated with a kissing stent, in 8 teaching hospitals were collected retrospectively. The risk factors were smoking (91%), dyslipidemia (60%), arterial hypertension (42%) and diabetes (27%). In 84% of cases, the indication for treatment was claudication. The lesions were stenotic n = 76) and/or thrombotic ( n = 18). The associated lesions were…

Partial or complete mesohepatectomy combined with resection of the hilar bifurcation in cases of Klatskin tumors: a reasonable strategy?

2009

Turing pattern formation in the Brusselator system with nonlinear diffusion.

2013

In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solution we determine the Turing and the oscillatory instability boundaries. A comparison with the classical linear diffusion shows how nonlinear diffusion favors the occurrence of Turing pattern formation. We study the process of pattern formation both in 1D and 2D spatial domains. Through a weakly nonlinear multiple scales analysis we derive the equations for the amplitude of the stationary patterns. The analysis of the amplitude equations shows the occurrence of a number of different phenomena, including stable supe…

An Iterative Method for Bifurcation-Free Resonant Inductive Power Transfer System Design

2021

The development of electric mobility makes the charging systems one of the main discussed topic. Among the different technologies, Resonant Inductive Power Transfer (RIPT) systems are in deep study. Several aspects, including the choice of coils, the compensation network and the bifurcation phenomenon are necessary for a proper design of the system. In this paper an iterative method for bifurcation-free RIPT system design is provided as a valid solution to the need of accurate models requiring low computational efforts.

Hidden Strange Nonchaotic Attractors

2021

In this paper, it is found numerically that the previously found hidden chaotic attractors of the Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic attractors. For a range of the bifurcation parameter, the hidden attractor is manifestly fractal with aperiodic dynamics, and even the finite-time largest Lyapunov exponent, a measure of trajectory separation with nearby initial conditions, is negative. To verify these characteristics numerically, the finite-time Lyapunov exponents, ‘0-1’ test, power spectra density, and recurrence plot are used. Beside the considered hidden strange nonchaotic attractor, a self-excited chaotic attractor and a quasiperiodic at…

Multi-layer canard cycles and translated power functions

2008

Abstract The paper deals with two-dimensional slow-fast systems and more specifically with multi-layer canard cycles. These are canard cycles passing through n layers of fast orbits, with n ⩾ 2 . The canard cycles are subject to n generic breaking mechanisms and we study the limit cycles that can be perturbed from the generic canard cycles of codimension n . We prove that this study can be reduced to the investigation of the fixed points of iterated translated power functions.

Scenario of the Birth of Hidden Attractors in the Chua Circuit

2017

Recently it was shown that in the dynamical model of Chua circuit both the classical selfexcited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua circuit is revisited. The scenario of the chaotic dynamics development and the birth of selfexcited and hidden attractors is studied. It is shown a pitchfork bifurcation in which a pair of symmetric attractors coexists and merges into one symmetric attractor through an attractormerging bifurcation and a splitting of a single attractor into two attractors. The scenario relating the subcritical Hopf bifurcation near equilibrium points and the birth of hidden attractors is discussed.

Dynamical and statistical properties of high-temperature self-propagating fronts: An experimental study

2009

International audience; We present a detailed experimental study of high-temperature self-propagating fronts using image processing techniques. The intrinsic features of the wave propagation are investigated as a function of the combustion temperature TC for a model system made of titanium and silicon powders. Different front behavior is realized by changing the molar ratio x of the mixture Ti+xSi. Outside the range x=[0.3,1.5], no thermal front is propagating while inside, three regimes are observed: steady-state combustion which is characterized by a flat front propagating at constant velocity and two unsteady regimes. The combustion temperature (or the corresponding ratio x) is thus play…

Positive solutions for parametric singular Dirichlet (p,q)-equations

2020

We consider a nonlinear elliptic Dirichlet problem driven by the (p,q)-Laplacian and a reaction consisting of a parametric singular term plus a Caratheodory perturbation f(z,x) which is (p-1)-linear as x goes to + infinity. First we prove a bifurcation-type theorem describing in an exact way the changes in the set of positive solutions as the parameter lambda>0 moves. Subsequently, we focus on the solution multifunction and prove its continuity properties. Finally we prove the existence of a smallest (minimal) solution u*_lambda and investigate the monotonicity and continuity properties of the map lambda --> u*_lambda.