title: Chimera states in time-varying complex networks.
abstract: Chimera states have been recently found in a variety of different coupling schemes and geometries. In most cases, the underlying coupling structure is considered to be static, while many realistic systems display significant temporal changes in the pattern of connectivity. In this work we investigate a time-varying network made of two coupled populations of Kuramoto oscillators, where the links between the two groups are considered to vary over time. As a main result we find that the network may support stable, breathing, and alternating chimera states. We also find that, when the rate of connectivity changes is fast, compared to the oscillator dynamics, the network may be described by a low-dimensional system of equations. Unlike in the static heterogeneous case, the onset of alternating chimera states is due to the presence of fluctuations, which may be induced either by the finite size of the network or by large switching times.
authors.affiliation: DIEEI, Università degli Studi di Catania, Catania, Italy.
authors.forename: Arturo
authors.initials: A
authors.lastname: Buscarino
authors.affiliation: DIEEI, Università degli Studi di Catania, Catania, Italy.
authors.forename: Mattia
authors.initials: M
authors.lastname: Frasca
authors.affiliation: DIEEI, Università degli Studi di Catania, Catania, Italy.
authors.forename: Lucia Valentina
authors.initials: LV
authors.lastname: Gambuzza
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.|Bernstein Center for Computational Neuroscience Berlin, Humboldt-Universität zu Berlin, Philippstraße 13, 10115 Berlin, Germany.
authors.forename: Philipp
authors.initials: P
authors.lastname: Hövel
mesh_terms: D008962:Models, Theoretical; D010507:Periodicity; D011336:Probability; D013816:Thermodynamics