TY  - JOUR
A1  - Boccaletti, Stefano
A1  - Hwang, Dong-Uk
A1  - Chavez, Mario
A1  - Amann, Andreas
A1  - Kurths, Jürgen
A1  - Pecora, Louis M.
T1  - Synchronization in dynamical networks : evolution along commutative graphs
N2  - Starting from an initial wiring of connections, we show that the synchronizability of a network can be significantly improved by evolving the graph along a time dependent connectivity matrix. We consider the case of connectivity matrices that commute at all times, and compare several approaches to engineer the corresponding commutative graphs. In particular, we show that synchronization in a dynamical network can be achieved even in the case in which each individual commutative graphs does not give rise to synchronized behavior
Y1  - 2006
UR  - http://pre.aps.org/
U6  - https://doi.org/10.1103/Physreve.74.016102
SN  - 1539-3755
ER  - 
TY  - JOUR
A1  - Letellier, Christophe
A1  - Abraham, Ralph
A1  - Shepelyansky, Dima L.
A1  - Rossler, Otto E.
A1  - Holmes, Philip
A1  - Lozi, Rene
A1  - Glass, Leon
A1  - Pikovsky, Arkady
A1  - Olsen, Lars F.
A1  - Tsuda, Ichiro
A1  - Grebogi, Celso
A1  - Parlitz, Ulrich
A1  - Gilmore, Robert
A1  - Pecora, Louis M.
A1  - Carroll, Thomas L.
T1  - Some elements for a history of the dynamical systems theory
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - Writing a history of a scientific theory is always difficult because it requires to focus on some key contributors and to "reconstruct" some supposed influences. In the 1970s, a new way of performing science under the name "chaos" emerged, combining the mathematics from the nonlinear dynamical systems theory and numerical simulations. To provide a direct testimony of how contributors can be influenced by other scientists or works, we here collected some writings about the early times of a few contributors to chaos theory. The purpose is to exhibit the diversity in the paths and to bring some elements-which were never published-illustrating the atmosphere of this period. Some peculiarities of chaos theory are also discussed.
Y1  - 2021
U6  - https://doi.org/10.1063/5.0047851
SN  - 1054-1500
SN  - 1089-7682
VL  - 31
IS  - 5
PB  - AIP Publishing
CY  - Melville
ER  -