We carry out the global bifurcation analysis of the classical Lorenz system. For many years, this system has been the subject of study by numerous authors. However, until now the structure of the Lorenz attractor is not clear completely yet, and the most important question at present is to understand the bifurcation scenario of chaos transition in this system. Using some numerical results and o...

A system of two asymmetrically coupled van der Pol oscillators has been studied. We show that the introduction of a small asymmetry in coupling leads to the appearance of a "wideband synchronization channel" in the bifurcational structure of the parameter space. An increase of asymmetry and transition to repulsive interaction leads to the formation of multistability. As the result, the tip of t...

In clinical practice, the operator must decide which stent is most appropriate for the patient. This article focuses on the features of stent design that make a specific stent more or less suitable for a particular type of lesion or anatomy: the “average” coronary lesion, the lesion situated on a curve, the ostial lesion, the bifurcational lesion, the lesion located at the left main stem, the c...

We study synchronization of a resonant limit cycle on a two-dimensional torus with an external harmonic signal. The regime of the resonant limit cycle is realized in a system of two coupled Van der Pol oscillators; we consider the resonances 1:1 and 1:3. We analyze the influence of coupling strength between the oscillators. We show that the resonant limit cycle can be generally synchronized on ...

If you surf the net to check tctmd.com or europcr. com, or the many other competing web sites, looking for talks on bifurcations, you will notice that they always start showing a tree branch or 2 rivers slowly merging and always finish saying that you have to use one stent only and cover the side-branch origin. Hopefully, next year they will start with bull horns instead, a Spanish national obs...

AMA Mohamed M, Mostafa Abdelfattah A. Prediction of side branch occlusion in bifurcational lesions during percutaneous coronary interventions by preprocedural computed tomography using the CT bifurcation score. Advances Interventional Cardiology/Postępy w Kardiologii Interwencyjnej. 2023;19(2):135-141. doi:10.5114/aic.2023.129212. APA Mohamed, M., Mostafa, & Abdelfattah, (2023). Interwencyjnej,...