The synchronization of chaotic systems

S Boccaletti, J Kurths, G Osipov, DL Valladares… - Physics reports, 2002 - Elsevier
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 …

[書籍][B] Synchronization: from coupled systems to complex networks

S Boccaletti, AN Pisarchik, CI Del Genio, A Amann - 2018 - books.google.com
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 …

[書籍][B] Synchronization in oscillatory networks

GV Osipov, J Kurths, C Zhou - 2007 - books.google.com
This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

Network synchronization of groups

F Sorrentino, E Ott - Physical Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
In this paper we study synchronized motions in complex networks in which there are distinct
groups of nodes where the dynamical systems on each node within a group are the same …

[書籍][B] Using R for numerical analysis in science and engineering

VA Bloomfield - 2018 - taylorfrancis.com
Instead of presenting the standard theoretical treatments that underlie the various numerical
methods used by scientists and engineers, Using R for Numerical Analysis in Science and …

Generalized synchronization of different dimensional chaotic dynamical systems in discrete time

A Ouannas, Z Odibat - Nonlinear Dynamics, 2015 - Springer
In this paper, the classical problem and the inverse problem of generalized synchronization
for different dimensional chaotic dynamical systems in discrete time are investigated. The …

Extreme events in excitable systems and mechanisms of their generation

G Ansmann, R Karnatak, K Lehnertz, U Feudel - Physical Review E—Statistical …, 2013 - APS
We study deterministic systems, composed of excitable units of FitzHugh–Nagumo type, that
are capable of self-generating and self-terminating strong deviations from their regular …

Synchronization in repulsively coupled oscillators

S Mirzaei, MS Anwar, F Parastesh, S Jafari, D Ghosh - Physical Review E, 2023 - APS
A long-standing expectation is that two repulsively coupled oscillators tend to oscillate in
opposite directions. It has been difficult to achieve complete synchrony in coupled identical …

Explosive synchronization: From synthetic to real-world networks

A Bayani, S Jafari, H Azarnoush - Chinese Physics B, 2022 - iopscience.iop.org
Synchronization is a widespread phenomenon in both synthetic and real-world networks.
This collective behavior of simple and complex systems has been attracting much research …

Generalized synchronization of different dimensional integer-order and fractional order chaotic systems

A Ouannas, AT Azar, T Ziar, AG Radwan - Fractional order control and …, 2017 - Springer
In this work different control schemes are proposed to study the problem of generalized
synchronization (GS) between integer-order and fractional-order chaotic systems with …