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DY: Fachverband Dynamik und Statistische Physik

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

DY 51.1: Talk

Thursday, March 12, 2026, 11:15–11:30, ZEU/0118

Remote Tipping in Networks — •Philip Marszal¹, Malte Schröder¹, and Marc Timme^1,2 — ¹Chair of Network Dynamics, Center for Advancing Electronics Dresden (cfaed) and Institute of Theoretical Physics, TUD Dresden University of Technology, 01062 Dresden, Germany — ²Lakeside Labs, Lakeside B04b , 9020 Klagenfurt, Austria

Tipping of a single unit in a complex networked system can trigger large-scale cascades that shift the system's macroscopic state. Typically, such cascades propagate diffusively, with each tipping event destabilizing adjacent units.

Here we report a novel form of tipping cascade in systems of coupled bistable oscillators, that results in the tipping of non-adjacent nodes. One node can trigger transitions in distant nodes while intermediate neighbors remain unaffected. Which nodes tip and which ones remain unaffected depends intricately on the local oscillator dynamics and the underlying network structure. We study the transition between locally spreading and non-local cascades and characterize the conditions necessary for the emergence of non-local cascades.

Keywords: Tipping Cascades; Nonlinear Oscillators; Non-equilibrium dynamics