Regensburg 2019 – scientific programme
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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 28.3: Topical Talk
Wednesday, April 3, 2019, 10:45–11:15, H17
Mean field phase synchronization across multilayer networks in chimera states — •Ralph Gregor Andrzejak1, Giulia Ruzzene1, Kaspar Schindler2, Eckehard Schöll3, and Anna Zakharova3 — 1Dept. of Information and Communication Technologies, Univ. Pompeu Fabra, Barcelona, Spain — 2Dept. of Neurology, Sleep-Wake-Epilepsy-Center, Inselspital, Univ. Bern, Switzerland — 3Inst. für Theoretische Physik, Technische Univ. Berlin, Germany
Chimera states are an intriguing interplay of synchronous and asynchronous motion in networks of coupled oscillators. While chimera states were traditionally studied in one-layer networks, recent work studies interactions of chimera states across coupled layers in multilayer networks. We here review our recent work in which we applied different types of couplings between pairs of networks that individually show chimera states when there is no coupling between them. We show that these couplings across network layers can lead to generalized synchronization [1] and phase synchronization [2] between networks, while both layers continue to exhibit distinct chimera states. We show that these synchronization phenomena are in close analogy to those found for low-dimensional chaotic dynamics.
References: [1] Andrzejak, R. G., Ruzzene, G., & Malvestio, I. (2017). Generalized synchronization between chimera states. Chaos, 27(5), 053114.
[2] Andrzejak, R. G., Ruzzene, G., Malvestio, I., Schindler, K., Schöll, E., & Zakharova, A. (2018). Mean field phase synchronization between chimera states. Chaos, 28(9), 091101.