Multistability or coexistence of different attractors for a given set of parameters is one of the
most exciting phenomena in dynamical systems. It can be found in different areas of science …

Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

The emergence of large-scale connectivity and synchronization are crucial to the structure,
function and failure of many complex socio-technical networks. Thus, there is great interest …

The coexistence of several stable states for a given set of parameters has been observed in
many natural and experimental systems as well as in theoretical models. This paper gives …

In this Letter we identify the general rules that determine the synchronization properties of
interconnected networks. We study analytically, numerically, and experimentally how the …

Critical phenomena in complex networks, and the emergence of dynamical abrupt
transitions in the macroscopic state of the system are currently a subject of the outmost …

From a computational point of view it is natural to suggest the classification of attractors,
based on the simplicity of finding basin of attraction in the phase space: an attractor is called …

The analysis of neurophysiological data using the two most widely used open-source
MATLAB toolboxes, FieldTrip and Brainstorm, validates our hypothesis about the correlation …

Publisher Summary This chapter presents the case of two coupled identical systems. The
chapter describes the first historical studies on complete synchronization (CS) phenomena …