Partial synchronization: from symmetry towards stability

By Alexander Yu. Pogromsky, Giovanni Santoboni, H. Nijmeijer. 2002

212 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/569e2a1f522b8c7e4eee9f3786e23cedee8bba36

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Guanrong Chen
2. Wenwu Yu
3. Jinde Cao
4. Jinhu Lu
5. Wei Ren
6. Tianping Chen
7. Xiwei Liu
8. Jürgen Kurths

In Statistical and Nonlinear Physics

1. Wenwu Yu
2. Jinde Cao
3. Guanrong Chen
4. Jinhu Lu
5. Tianping Chen
6. Xiwei Liu
7. Wenjuan Zhou
8. Wei Wu

Citations in the corpus

• Cluster Synchronization in Directed Networks Via Intermittent Pinning Control (2011, background): “In the literature, many authors have investigated this phenomenon, [ 19 ]‐ [27].”
• Synchronization of Networks of Nonidentical Euler-Lagrange Systems With Uncertain Parameters and Communication Delays (2011, methodology): “In the remarkable paper [7] the new concept of semi-passivity was introduced to synchronize systems, such concept was later used in [8] to establish conditions for global synchronization of diffusively coupled (non-necessarily identical) nonlinear systems.”
• State Agreement for Continuous-Time Coupled Nonlinear Systems (2007, background): “How the group might reach a consensus and form a common subjective probability distribution for the parameter is a state agreement problem.”
• Semi-passivity and synchronization of diffusively coupled neuronal oscillators (2009, methodology): “The emergence of clusters for diffusively coupled neurons satisfying the assumptions of Theorem 1 can be explained for general network topology using the theory discussed in [29, 31].”
• Local Synchronization of a Complex Network Model (2009, background): “If the coupled system involves more than two nodes (chaotic oscillators), a variety of new phenomena can occur, including partial synchronization [18]–[20], which is referred to as local synchronization in this paper.”
• Constructing consensus controllers for networks with identical general linear agents (2010, background): “Pogromsky ([17, 18]) has given a control-theoretic interpretation of the classical synchronization result, that captures the essence of the consensus problem.”
• Cluster Synchronization of Linearly Coupled Complex Networks Under Pinning Control (2009, background): “On the other hand, considering that a network can be formed by an arbitrary number of oscillators, the number of different existing invariant synchronization manifolds may be large [24].”