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 …

Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …

We consider the problem of cooperation among a collection of vehicles performing a shared
task using intervehicle communication to coordinate their actions. Tools from algebraic …

We show that many coupled oscillator array configurations considered in the literature can
be put into a simple form so that determining the stability of the synchronous state can be …

We apply the concept of phase synchronization of chaotic and/or noisy systems and the
statistical distribution of the relative instantaneous phases to electroencephalograms (EEGs) …

We study synchronization transitions in a system of two coupled self-sustained chaotic
oscillators. We demonstrate that with the increase of coupling strength the system first …

The field of chaotic synchronization has grown considerably since its advent in 1990.
Several subdisciplines and “cottage industries” have emerged that have taken on bona fide …

By choice of the proper coupling, it is possible to create chaotic systems that are
synchronized. To create the synchronized circuits described in this work, the original chaotic …

Recently, it has been demonstrated that many large complex networks display a scale-free
feature, that is, their connectivity distributions are in the power-law form. In this paper, we …

Thermoacoustic instability in turbulent combustors is a nonlinear phenomenon resulting
from the interaction between acoustics, hydrodynamics, and the unsteady flame. Over the …