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Regensburg 2019 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 28: Dynamics of Multilayer Networks I (Focus Session SOE/DY/BP) (joint session SOE/BP/DY)

DY 28.5: Topical Talk

Mittwoch, 3. April 2019, 11:30–12:00, H17

Relay synchronization in multiplex networks — •Inmaculada Leyva1,2, Irene Sendina-Nadal1,2, Ricardo Sevilla-Escoboza3, and Victor Vera-Avila31Complex Systems Group & GISC, Universidad Rey Juan Carlos, Madrid, Spain — 2Center for Biomedical Technology, Universidad Politécnica de Madrid, Madrid, Spain — 3Centro Univ. de los Lagos, Universidad de Guadalajara, Jalisco, Mexico

The relay synchronization is observed when two dynamical units synchronize despite not being directly linked, due to the intermediation of a relay mismatched unit. In our work we have extended the concept of relay synchronization to the case of a multiplex network, showing that the intermediation of a relay layer can lead to inter-layer synchronization of a set of paired layers, both topologically and dynamically different from the transmitter. The phenomenon can be extended to indefinitely higher order relay configurations, provided a mirror symmetry is preserved in the multiplex. The coherent state is very robust to changes in the dynamics, topology, and even to strong multiplex disconnection.Our results provide a new path for starting the study of the role of symmetries in setting long distance coherence in real systems, specially in brain networks, where remote synchronization is of outstanding relevance for coordination between remote cortical areas.

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