Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

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 …

Transfer Entropy Page 1 Chapter 4 Transfer Entropy In this chapter we get to the essential
mathematics of the book—a detailed discussion of transfer entropy. To begin with we look at …

We study the Kuramoto model on complex networks, in which natural frequencies of phase
oscillators and the vertex degrees are correlated. Using the annealed network …

Recent advances in machine learning (ML) have facilitated its application to a wide range of
systems, from complex to quantum. Reservoir computing algorithms have proven particularly …

Synchronization is a subject of interdisciplinary relevance, interpolating between efficiency
in transportation and digital data transfers to disease in cardiac and neural tissue. While …

The detection of limit cycles of differential equations poses a challenge due to the type of the
nonlinear system, the regime of interest, and the broader context of applicable models …

The collective dynamics in populations of magnetic spin torque oscillators (STO) is an
intensely studied topic in modern magnetism. Here, we show that arrays of STO coupled via …

We systematically study dynamics of a generalized Kuramoto model of globally coupled
phase oscillators. The coupling of modified model depends on the fraction of phase-locked …

The classical Kuramoto model serves as a useful tool for studying synchronization
transitions in coupled oscillators that is limited to the sinusoidal and pairwise interactions. In …