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DY: Fachverband Dynamik und Statistische Physik

DY 51: Networks: From Topology to Dynamics – Part III (joint session DY/SOE)

DY 51.4: Vortrag

Donnerstag, 12. März 2026, 12:00–12:15, ZEU/0118

Localizing sparse perturbation sources in driven nonlinear networks — •Julian Luca Fleck, Jose Casadiego, and Marc Timme — Chair of Network Dynamics, Center for Advancing Electronics Dresden (cfaed) and Institute of Theoretical Physics, TUD Dresden University of Technology, 01062 Dresden, Germany

Network dynamical systems under the influence of external perturbations abound in nature and engineered systems, ranging from neural circuits to electrical power grids. The external driving can drastically change the system’s operating mode and be fatal for system stability. Localizing sources of perturbations in a network is crucial to mitigate systems failure. We present a linear response approach to infer the location from a multivariate time series of a recorded subset of nodes. We employ a compressed-sensing algorithm to locate one or multiple perturbation sources utilizing the sparsity of such locations. The approach additionally yields the time series of the unmeasured nodes and the external driving. We test for random linear systems, and illustrate the applicability to electrical power grids.

Keywords: driven networks; inverse problems; nonlinear dynamics