Berlin 2024 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 17: Networks: From Topology to Dynamics (joint session SOE/DY)

SOE 17.8: Vortrag

Mittwoch, 20. März 2024, 17:00–17:15, TC 006

Nonequilibrium Nonlinear Dynamics II: Strong Perturbations — •Julian Fleck, Moritz Thümler, Malte Schröder, Seungjae Lee, and Marc Timme — Institute for Theoretical Physics, Technische Universität Dresden, 01062 Dresden, Germany

Analytical studies of driven nonlinear dynamical systems often focus on linear response theory or extensions thereof in the asymptotic limit of small driving amplitudes. However, standard perturbation series are incapable of faithfully describing driving-induced system disruptions such as driving-induced tipping. In recent work (see part I: Nonlinear Shift and Tipping), we have proposed a self-consistency condition to estimate at which driving amplitudes non-equilibrium nonlinear system dynamics may tip. Here we propose to predict the tipping point by a large-perturbation expansion evaluated inside the self-consistency condition. We compare small-amplitude with the novel large-amplitude ansatz. The approach we propose may help to quantitatively predict intrinsically nonlinear response dynamics as well as bifurcations emerging at large driving amplitudes in non-autonomous dynamical systems.

Keywords: perturbation series; nonlinear dynamics; non-equilibrium dynamics; linear response theory; networks