Synchronization in Small-World Dynamical Networks
By Xiao Fan Wang, Guanrong Chen. 2002
847 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Molecular Biology
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In Computer Networks and Communications
In Molecular Biology
Citations in the corpus
- An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, background): “One particular interesting topic is synchronization in com plex networks which has been widely investigated in the past decade [ 95], [96].”
- Local Synchronization of a Complex Network Model (2009, methodology): “First, we review the coupled complex network model used in [3], [4], [7]–[20].”
- Distributed Consensus Filtering in Sensor Networks (2009, background): “In [10] and [11], local synchronization was studied based on the transverse stability to the synchronization manifold, where synchronization was discussed with respect to small-world and scale-free network topologies.”
- Synchronization via Pinning Control on General Complex Networks (2013, background): “In addition to the commonly studied undirected networks [18, 19, 36, 37, 38, 45, 46, 48, 49, 61, 62], directed networks are also used to represent the interactive topology between the vertices.”
- Synchronization in scale-free dynamical networks: robustness and fragility (2001, background): “Some researchers have investigated the synchronization phenomenon in small-world dynamical networks [15], [30]‐[ 32 ].”
- Global Synchronization Control of General Delayed Discrete-Time Networks With Stochastic Coupling and Disturbances (2008, background): “Synchronization problem have been attracting recurrent research interests for many complex networks that include, but are not limited to, large-scale and complex networks of chaotic oscillators [6], [12], [19], [27], the coupled systems exhibiting spatiotemporal chaos and autowaves [15], [26], and t”
- Synchronization analysis of linearly coupled networks of discrete time systems (2004, background): “Spectral properties of various kinds of LCMLs, such as small-world (SW) lattice and scale-free network, were discussed in [15,16]; moreover, the case with continuous time is discussed in [17,18].”
- On pinning synchronization of complex dynamical networks (2009, methodology): “Therefore, a large amount of work has been devoted to the study of synchronization in various largescale complex networks (Cao, Li, & Wang, 2006; W. Lu & T. Chen, 2004; Wang & Cao, 2006; Wang & Chen, 2002a,b; Yu, Cao, & Lü, 2008).”
- Exponential synchronization of complex networks with Markovian jump and mixed delays (2008, background): “Synchronization has proven to be one of the most important controlling activities to excite the collective behavior of complex dynamical networks, and has received increasing research attention in, for example, the large-scale and complex networks of chaotic oscillators [1,15,19,32], the coupled sys”
- Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay (2006, background): “R n → R is a differentiable function denoting the intrinsic dynamics of the uncoupled system at each node, the scalar c is the coupling strength, aij ≥ 0 denotes the coupling coefficient from node j to node i for i, j = 1, · · · ,m, i 6= j, and the n-dimensional diagonal matrix Γ = diag{γ1, · · · , ”
- Consensus in Directed Networks of Agents With Nonlinear Dynamics (2011, methodology): “Thereafter, stability and synchronization of small-world and scale-free networks have been investigated extensively using this master stability function method.”
- Complex networks: small-world, scale-free and beyond (2003, positive): “Recently, synchronization in different small-world and scale-free dynamical network models has been carefully studied [39-45].”