Synchronization stability in coupled oscillator arrays: Solution for arbitrary configurations

L Pecora, T Carroll, G Johnson, D Mar… - International Journal of …, 2000 - World Scientific
The stability of the state of motion in which a collection of coupled oscillators are in identical
synchrony is often a primary and crucial issue. When synchronization stability is needed for …

Master stability functions for synchronized coupled systems

LM Pecora, TL Carroll - Physical review letters, 1998 - APS
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 …

Fundamentals of synchronization in chaotic systems, concepts, and applications

LM Pecora, TL Carroll, GA Johnson, DJ Mar… - … Journal of Nonlinear …, 1997 - pubs.aip.org
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 …

Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal

G Grassi, S Mascolo - … Transactions on Circuits and Systems I …, 1997 - ieeexplore.ieee.org
In this work control theory is used to formalize hyperchaos synchronization as a nonlinear
observer design issue. Following this approach, a new systematic tool to synchronize a …

Synchronization conditions and desynchronizing patterns in coupled limit-cycle and chaotic systems

LM Pecora - Physical review E, 1998 - APS
Many coupling schemes for both limit-cycle and chaotic systems involve adding linear
combinations of dynamical variables from various oscillators in an array of identical …

A simple global synchronization criterion for coupled chaotic systems

GP Jiang, WKS Tang, G Chen - Chaos, Solitons & Fractals, 2003 - Elsevier
Based on the Lyapunov stabilization theory and Gerschgorin theorem, a simple generic
criterion is derived for global synchronization of two coupled chaotic systems with a …

Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays

KS Fink, G Johnson, T Carroll, D Mar, L Pecora - Physical Review E, 2000 - APS
We show that the stability surface that governs the synchronization of a large class of arrays
of identical oscillators can be probed with a simple array of just three identical oscillators …

Chaotic synchronization and anti-synchronization based on suitable separation

Y Zhang, J Sun - Physics Letters A, 2004 - Elsevier
Based on a suitable separation of systems, Lyapunov stability theory and matrix measure,
the complete synchronization and anti-synchronization for chaotic systems is investigated …

Finite-time and fixed-time synchronization control of discontinuous fuzzy Cohen-Grossberg neural networks with uncertain external perturbations and mixed time …

F Kong, R Rajan - Fuzzy Sets and Systems, 2021 - Elsevier
This paper aims to investigate the synchronization control of a class of discontinuous fuzzy
Cohen-Grossberg neural networks (DFCGNNs) with uncertain external perturbations and …

Synchronization of chaotic systems with different order

R Femat, G Solís-Perales - Physical Review E, 2002 - APS
The chaotic synchronization of third-order systems and second-order driven oscillator is
studied in this paper. Such a problem is related to synchronization of strictly different chaotic …