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Synchronization in dynamical networks with unconstrained structure switching
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Del Genio, Charo I., Romance, Miguel, Criado, Regino and Boccaletti, Stefano (2015) Synchronization in dynamical networks with unconstrained structure switching. Physical Review E, 92 (6). doi:10.1103/PhysRevE.92.062819
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Official URL: http://dx.doi.org/10.1103/PhysRevE.92.062819
Abstract
We provide a rigorous solution to the problem of constructing a structural evolution for a network of coupled identical dynamical units that switches between specified topologies without constraints on their structure. The evolution of the structure is determined indirectly from a carefully built transformation of the eigenvector matrices of the coupling Laplacians, which are guaranteed to change smoothly in time. In turn, this allows one to extend the master stability function formalism, which can be used to assess the stability of a synchronized state. This approach is independent from the particular topologies that the network visits, and is not restricted to commuting structures. Also, it does not depend on the time scale of the evolution, which can be faster than, comparable to, or even secular with respect to the dynamics of the units.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QH Natural history Q Science > QP Physiology |
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| Divisions: | Faculty of Science > Life Sciences (2010- ) | ||||||||
| Library of Congress Subject Headings (LCSH): | Topological dynamics , Neural networks (Neurobiology), Biotic communities | ||||||||
| Journal or Publication Title: | Physical Review E | ||||||||
| Publisher: | American Physical Society | ||||||||
| ISSN: | 1539-3755 | ||||||||
| Official Date: | 15 December 2015 | ||||||||
| Dates: |
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| Volume: | 92 | ||||||||
| Number: | 6 | ||||||||
| DOI: | 10.1103/PhysRevE.92.062819 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Funder: | Seventh Framework Programme (European Commission) (FP7) | ||||||||
| Grant number: | 288021 (FP7) |
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