A few mathematical problems arising in the classical synchronization theory are discussed; especially those relating to complex dynamics. The roots of the theory originate in the pioneering experiments by van der Pol and van der Mark, followed by the theoretical studies done by Cartwright and Littlewood. Today we focus specifically on the problem on a periodically forced stable limit cycle emer...

A few mathematical problems arising in the classical synchronization theory are discussed; especially those relating to complex dynamics. The roots of the theory originate in the pioneering experiments by van der Pol and van der Mark, followed by the theoretical studies done by Cartwright and Littlewood. Today we focus specifically on the problem on a periodically forced stable limit cycle emer...

The discovery of chaos in low dimensional dynamical systems has provided a renewed interest in dynamics. The advance in computer technology allows us to solve (numerically) nonlinear problems of ever-increasing complexity. In some instances the need to explain specific numerical evidence has, in turn, promoted a resurgence in theoretical issues which provide insight into dynamical and bifurcati...

A review is given of our previous work on the clustering phenomenon for vibrofluidized granular matter in an array of connected compartments, being a prime example of spontaneous pattern formation in a many-body system far from thermodynamic equilibrium. Experiments show that when the shaking strength is reduced below a certain critical level, the grains cluster together: first into a subset of...

Background and aim: Left main disease account for 3% to 5% of the coronary lesions. PCI on bifurcation lesions is considered a challenge any cardiologist. These include wide spectrum anatomic complexity varying from simple lesions, which can be managed with single stent, complex necessitating more procedures. The goal present study was compare clinical outcomes single-stent vs. double-stent imp...