SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 18: Nonlinear Dynamics, Synchronization and Chaos
DY 18.2: Vortrag
Dienstag, 28. März 2023, 10:15–10:30, ZEU 148
Predicting tipping points in driven nonlinear systems — •Gwendolyn Quasebarth1, Moritz Thümler1, and Marc Timme1,2 — 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.