Blinking model and synchronization in small-world networks with a time-varying coupling

By I. Belykh, V. Belykh, Martin J. Hasler. 2004

345 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/3f8fe7a857949c811205db0c75906adf0ba56d4f

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In Computer Networks and Communications

In Molecular Biology

Citations in the corpus

Causation entropy identifies indirect influences, dominance of neighbors and anticipatory couplings (2014, background): “For example, the problem of synchronization stability of coupled oscillators in time-dependent networks has been fully addressed only for a few specific cases [32, 33, 34, 35, 36].”
Control Principles of Complex Networks (2015, methodology): “A broad spectrum of methods allows us to address this question (Barahona and Pecora, 2002; Belykh et al., 2004b; Chen, 2007; Pecora and Carroll, 1998; Russo and Di Bernardo, 2009; Wu and Chua, 1994).”
Synchronization in complex networks (2008, methodology): “(52), the requirement imposed by (Belykh et al., 2006, 2004b) is that the following auxiliary system of the synchronization difference Xij = xi − xj , Ẋij = [ ∫ 1 0 DF(βxj + (1 − β)xi)dβ − αDH ] Xij , be globally stable at the fixed point Xij = 0 for α > αc.”
Synchronization of Complex Dynamical Networks With Time-Varying Delays Via Impulsive Distributed Control (2010, background): “2037848 effects [23], and switching phenomena [21], [22], etc.”
Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings (2013, background): “In [34], the global synchronization problem has been investigated for a complex network with blinking connections which are randomly switched on and off with a given probability, and the frequency of switching is high compared to the network dynamics.”
The structure and dynamics of multilayer networks (2014, background): “In particular, a widely studied case is the limit of the so-called blinking networks [378,379], where the switching between different configurations happens rapidly, i.”
Robust semi‐global coordinated tracking of linear multi‐agent systems with input saturation (2015, background): “In particular, research on distributed cooperative control protocols has advanced the development of cooperative control in multi-agent systems [3], [4], [5], [6], [7], [8], [9], [10], [11], [12].”