Cluster synchronization and isolated desynchronization in complex networks with symmetries
Synchronization is of central importance in power distribution, telecommunication, neuronal
and biological networks. Many networks are observed to produce patterns of synchronized …
and biological networks. Many networks are observed to produce patterns of synchronized …
Synchronization in chaotic systems
LM Pecora, TL Carroll - Physical review letters, 1990 - APS
Synchronization in chaotic systems Page 1 VOLUME 64, NUMBER 8 PHYSICAL REVIEW
LETTERS 19 FEBRUARY 1990 Synchronization in Chaotic Systems Louis M. Pecora and …
LETTERS 19 FEBRUARY 1990 Synchronization in Chaotic Systems Louis M. Pecora and …
[HTML][HTML] Synchronization of chaotic systems
LM Pecora, TL Carroll - Chaos: An Interdisciplinary Journal of …, 2015 - pubs.aip.org
We review some of the history and early work in the area of synchronization in chaotic
systems. We start with our own discovery of the phenomenon, but go on to establish the …
systems. We start with our own discovery of the phenomenon, but go on to establish the …
Complete characterization of the stability of cluster synchronization in complex dynamical networks
Synchronization is an important and prevalent phenomenon in natural and engineered
systems. In many dynamical networks, the coupling is balanced or adjusted to admit global …
systems. In many dynamical networks, the coupling is balanced or adjusted to admit global …
[HTML][HTML] Graph partitions and cluster synchronization in networks of oscillators
Synchronization over networks depends strongly on the structure of the coupling between
the oscillators. When the coupling presents certain regularities, the dynamics can be coarse …
the oscillators. When the coupling presents certain regularities, the dynamics can be coarse …
Synchronisation of chaos and its applications
Dynamical networks are important models for the behaviour of complex systems, modelling
physical, biological and societal systems, including the brain, food webs, epidemic disease …
physical, biological and societal systems, including the brain, food webs, epidemic disease …
Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions
When describing complex interconnected systems, one often has to go beyond the standard
network description to account for generalized interactions. Here, we establish a unified …
network description to account for generalized interactions. Here, we establish a unified …
[HTML][HTML] Introduction to focus issue: Patterns of network synchronization
The study of synchronization of coupled systems is currently undergoing a major surge
fueled by recent discoveries of new forms of collective dynamics and the development of …
fueled by recent discoveries of new forms of collective dynamics and the development of …
Controlling symmetries and clustered dynamics of complex networks
Symmetries are an essential feature of complex networks as they regulate how the graph
collective dynamics organizes into clustered states. We here show how to control network …
collective dynamics organizes into clustered states. We here show how to control network …
Sensitive dependence of optimal network dynamics on network structure
The relation between network structure and dynamics is determinant for the behavior of
complex systems in numerous domains. An important long-standing problem concerns the …
complex systems in numerous domains. An important long-standing problem concerns the …