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 …

Control of chaos refers to a process wherein a tiny perturbation is applied to a chaotic
system, in order to realize a desirable (chaotic, periodic, or stationary) behavior. We review …

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 …

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) …

This note considers globally finite-time synchronization of coupled networks with Markovian
topology and distributed impulsive effects. The impulses can be synchronizing or …

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 …

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

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 …

In partially linear systems, such as the Lorenz model, chaotic synchronization is possible in
only some of the variables. We show that, for the nonsynchronizing variable, synchronization …

Necessary and sufficient conditions for the occurrence of generalized synchronization of
unidirectionally coupled dynamical systems are given in terms of asymptotic stability. The …