Connection Graph Stability Method for Synchronized Coupled Chaotic Systems

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

472 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3f51aaa9b99dbae356643e9a5eeb4bb1dbff9230

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In Computer Networks and Communications

In Statistical and Nonlinear Physics

Citations in the corpus

Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization (2016, background): “oftheLaplacianmatrix. Theinterestedreaderisherereferred toRef.[246]forthecompletediscussiononthethreepossibleclassesofMSF. Thesecondmethodisknownastheconnectiongraphstabilitymethod,andwasderivedinRef.[253]. It combinestheLyapunovfunctionapproachwithgraphtheoreticalreasoning,andprovidesaboundforthe m”
State Agreement for Continuous-Time Coupled Nonlinear Systems (2007, background): “And a central question is, What properties of the interaction graph lead to state agreement? Most existing work has dealt with static graphs with a particular topology, such as rings [6, 30], cyclic digraphs [32], and fully connected graphs [12, 13, 34], or with static graphs having an unspecified t”
Dynamics and Control at Feedback Vertex Sets. I: Informative and Determining Nodes in Regulatory Networks (2013, unknown): “See for example [6,31] for further details.”
Synchronization in complex networks (2008, methodology): “The analysis of the global stability of the synchronized state, was first carried out for general graphs [167] and then followed for specific complex networks [168, 169, 170, 171].”
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).”
Topology identification of weighted complex dynamical networks (2007, background): “Many existing literatures focused on investigating the geometry features, synchronization and control of complex dynamical network provided with certain topology [12–20].”
Synchronization and convergence of linear dynamics in random directed networks (2006, unknown): “[6] G.”