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DY: Fachverband Dynamik und Statistische Physik

DY 18: Nonlinear Dynamics, Synchronization and Chaos

DY 18.2: Talk

Tuesday, March 28, 2023, 10:15–10:30, ZEU 148

Predicting tipping points in driven nonlinear systems — •Gwendolyn Quasebarth¹, Moritz Thümler¹, and Marc Timme^1,2 — ¹Chair for Network Dynamics, Institute for Theoretical Physics and Center for Advancing Electronics Dresden (cfaed), Technical University of Dresden, Dresden, Germany — ²Lakeside Labs, Lakeside B04b, Klagenfurt, Austria

Tipping points mark parameter values beyond which a system qualitatively changes its collective dynamics, often in undesired ways. Standard response theory for nonequilibrium nonlinear systems predicts local deviations around a stable fixed point via a polynomial in the amplitude є of the driving signal. However, such standard response theories (of arbitrary order in є) necessarily fail to predict nonequilibrium tipping points. Here, we propose a novel nonlinear response theory that overcomes the constraints of polynomial response theory of any order. We illustrate our findings in a class of sinusoidally driven damped nonlinear oscillators.