2014
DOI: 10.1103/physreve.90.012909
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Control for a synchronization-desynchronization switch

Abstract: How to freely enhance or suppress synchronization of networked dynamical systems is of great importance in many disciplines. A unified precise control method for a synchronization-desynchronization switch, called the pull-push control method, is suggested. Namely, synchronization can be achieved when the original systems are desynchronous by pulling (or protecting) one node or a certain subset of nodes, whereas desynchronization can be accomplished when the systems are already synchronous by pushing (or kickin… Show more

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Cited by 19 publications
(16 citation statements)
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“…Using virtual cortical resection, we observed the presence of specific nodes whose placement in the wider network suggests their critical role in controlling synchronization and desynchronization in seizure dynamics. These key areas display antithetical potential for controlling activity dynamics, and therefore we speculate that they may employ an antagonistic, push-pull control mechanism similar to that described in theoretical work in other systems (He et al, 2014). Mechanistically, synchronizing controllers theoretically pull the network towards a particular synchronous state, and, conversely, desynchronizing controllers push the network away from these states.…”
Section: Discussionmentioning
confidence: 73%
See 1 more Smart Citation
“…Using virtual cortical resection, we observed the presence of specific nodes whose placement in the wider network suggests their critical role in controlling synchronization and desynchronization in seizure dynamics. These key areas display antithetical potential for controlling activity dynamics, and therefore we speculate that they may employ an antagonistic, push-pull control mechanism similar to that described in theoretical work in other systems (He et al, 2014). Mechanistically, synchronizing controllers theoretically pull the network towards a particular synchronous state, and, conversely, desynchronizing controllers push the network away from these states.…”
Section: Discussionmentioning
confidence: 73%
“…When synchronizing nodes exert greater push than desynchronizing nodes, synchronizability increases and dynamic processes may diffuse through the network more easily (He et al, 2014) (Figure 1B). Such mechanisms are particularly successful in heterogeneous networks like the brain, where some regions are sparsely connected and other regions are densely connected (Wang & Chen, 2002).…”
Section: Introductionmentioning
confidence: 99%
“…Using virtual cortical resection, we observed the presence of specific nodes whose placement in the wider network suggests their critical role in controlling synchronization and desynchronization in seizure dynamics. These key areas display antithetical potential for controlling activity dynamics, and therefore we speculate that they may employ an antagonistic, push-pull control mechanism similar to that described in theoretical work in other systems [25]. Mechanistically, synchronizing controllers theoretically pull the network towards a particular synchronous state, and, conversely, desynchronizing controllers push the network away from these states.…”
Section: Push-pull Control Titrates Network Synchronizabilitymentioning
confidence: 74%
“…Theoretical work in the fields of physics and engineering demonstrates that diffusion of dynamics through the network can be regulated through a push-pull control mechanism, where desynchronizing and synchronizing nodes operate antagonistically in a "tug-of-war". When synchronizing nodes exert greater push than desynchronizing nodes, synchronizability increases and dynamic processes may diffuse through the network more easily [25] (Fig. 1b).…”
Section: Introductionmentioning
confidence: 99%
“…One hypothesis from theoretical physics is that these networks employ a push-pull control strategy in which antagonistic desynchronizing and synchronizing nodes regulate the transfer of information through the network. 169 By analyzing the functional network topology of focal and distributed (clinically known as secondarily generalized) seizures, recent work demonstrates that desynchronizing and synchronizing brain regions antagonistically regulate the ability for seizures to synchronize network dynamics. 143 Thus, control strategies like push-pull control may be relevant for homeostatic regulation of (nonlinear) synchronization dynamics in the human brain.…”
Section: A Few Relevant Concepts and Toolsmentioning
confidence: 99%