Dresden 2017 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 43: Nonlinear Dynamics, Synchronizsation and Chaos
DY 43.14: Vortrag
Donnerstag, 23. März 2017, 13:00–13:15, ZEU 118
Multi-node basin stability in complex networks of dynamical systems — Chiranjit Mitra1, Anshul Choudhary2,3, Sudeshna Sinha2, Jürgen Kurths1,4,5,6, and •Reik V. Donner1 — 1Potsdam Institute for Climate Impact Research, Germany — 2IISER Mohali, India — 3Carl von Ossietzky University of Oldenburg, Germany — 4Humboldt University, Berlin, Germany — 5University of Aberdeen, UK — 6Nizhny Novgorod State University, Russia
In networks of interacting oscillators, the stability of the synchronized state in the presence of large perturbations is critical, with various real-world examples like ecosystems, power grids, the human brain, etc. The study of this problem calls for the development of appropriate quantifiers of stability of multiple stable states of such systems. Motivated by the concept of basin stability (BS) (Menck et al., Nature Physics 9, 89 (2013)), we propose here the general framework of multi-node basin stability for gauging global stability and robustness of networked dynamical systems in response to non-local perturbations simultaneously affecting multiple nodes of a system. The framework of multi-node BS provides an estimate of the critical number of nodes which when simultaneously perturbed significantly reduces the capacity of the system to return to the desired state. We demonstrate the potential of multi-node BS in assessing the stability of the synchronized state in a deterministic scale-free network of Rössler oscillators and a conceptual model of the power grid of the United Kingdom with second-order Kuramoto-type nodal dynamics.