Controlling chimera states via minimal coupling modification

We propose a method to control chimera states in a ring-shaped network of nonlocally coupled phase oscillators. This method acts exclusivelyon the network’s connectivity. Using the idea of a pacemaker oscillator, we investigate which is the minimal action needed to control chimeras.We implement the...

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Detalles Bibliográficos
Autores: Ruzzene, Giulia, Omelchenko, Iryna, Schöll, Eckehard, Zakharova, Anna, Andrzejak, Ralph Gregor
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10230/37294
Acceso en línea:http://hdl.handle.net/10230/37294
http://dx.doi.org/10.1063/1.5097570
Access Level:acceso abierto
Descripción
Sumario:We propose a method to control chimera states in a ring-shaped network of nonlocally coupled phase oscillators. This method acts exclusivelyon the network’s connectivity. Using the idea of a pacemaker oscillator, we investigate which is the minimal action needed to control chimeras.We implement the pacemaker choosing one oscillator and making its links unidirectional. Our results show that a pacemaker induces chimerasfor parameters and initial conditions for which they do not form spontaneously. Furthermore, the pacemaker attracts the incoherent part of thechimera state, thus controlling its position. Beyond that, we find that these control effects can be achieved with modifications of the network’sconnectivity that are less invasive than a pacemaker, namely, the minimal action of just modifying the strength of one connection allows oneto control chimeras.