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10.1063/1.4961065 http://scihub22266oqcxt.onion/10.1063/1.4961065 C5381716!5381716!27781454     free     free     free Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534       Chaos 2016 ; 26 (9): 094821 Nephropedia Template TP {{tp|p=27781454|t=2016. Graph partitions and cluster synchronization in networks of oscillators |pdf=|usr=}}{{27781454}} gab.com Text Graph partitions and cluster synchronization in networks of oscillators JO: Chaos http://www.kidney.de/pget.php?&tw=1&pmid=27781454 #FOAvip 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-grained into clusters by means of External Equitable Partitions of the network graph and their associated quotient graphs. We exploit this graph-theoretical concept to study the phenomenon of cluster synchronization, in which different groups of nodes converge to distinct behaviors. We derive conditions and properties of networks in which such clustered behavior emerges, and show that the ensuing dynamics is the result of the localization of the eigenvectors of the associated graph Laplacians linked to the existence of invariant subspaces. The framework is applied to both linear and non-linear models, first for the standard case of networks with positive edges, before being generalized to the case of signed networks with both positive and negative interactions. We illustrate our results with examples of both signed and unsigned graphs for consensus dynamics and for partial synchronization of oscillator networks under the master stability function as well as Kuramoto oscillators. Twit Text FOAVip Graph partitions and cluster synchronization in networks of oscillators ????Chaos http://www.kidney.de/pget.php?&tw=1&pmid=27781454 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=27781454 #FOAvip English Wikipedia <ref>{{Cite pmid|27781454}}</ref> Graph partitions and cluster synchronization in networks of oscillators #MMPMID27781454 Schaub MT; O?Clery N; Billeh YN; Delvenne JC; Lambiotte R; Barahona M Chaos 2016[Sep]; 26 (9): 094821 PMID27781454show ga 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-grained into clusters by means of External Equitable Partitions of the network graph and their associated quotient graphs. We exploit this graph-theoretical concept to study the phenomenon of cluster synchronization, in which different groups of nodes converge to distinct behaviors. We derive conditions and properties of networks in which such clustered behavior emerges, and show that the ensuing dynamics is the result of the localization of the eigenvectors of the associated graph Laplacians linked to the existence of invariant subspaces. The framework is applied to both linear and non-linear models, first for the standard case of networks with positive edges, before being generalized to the case of signed networks with both positive and negative interactions. We illustrate our results with examples of both signed and unsigned graphs for consensus dynamics and for partial synchronization of oscillator networks under the master stability function as well as Kuramoto oscillators. äGraph partitions and cluster synchronization in networks of oscillator(epmc).pdf DeepDyve Pubget Overpricing