Synchronization is optimal in non-diagonalizable networks

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dc.creatorNishikawa, Takashi
dc.creatorMotter, Adilson E.
dc.date2006-05-25
dc.date2006-06-30
dc.date.accessioned2026-07-07T07:09:11Z
dc.date.available2026-07-07T07:09:11Z
dc.descriptionWe consider the problem of maximizing the synchronizability of oscillator networks by assigning weights and directions to the links of a given interaction topology. We first extend the well-known master stability formalism to the case of non-diagonalizable networks. We then show that, unless some oscillator is connected to all the others, networks of maximum synchronizability are necessarily non-diagonalizable and can always be obtained by imposing unidirectional information flow with normalized input strengths. The extension makes the formalism applicable to all possible network structures, while the maximization results provide insights into hierarchical structures observed in complex networks in which synchronization plays a significant role.
dc.description4 pages, 1 figure; minor revision
dc.identifierhttps://arxiv.org/abs/cond-mat/0605619
dc.identifierhttp://arxiv.org/abs/cond-mat/0605619
dc.identifierPhys. Rev. E 73, 065106 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.065106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110968
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectChaotic Dynamics
dc.subjectNeurons and Cognition
dc.titleSynchronization is optimal in non-diagonalizable networks
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