Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 72: Poster: Stoch. and Nonl. Dy., Modeling, Compl. Sys.

DY 72.2: Poster

Donnerstag, 15. März 2018, 15:30–18:00, Poster A

Analysis of stochastic bifurcations with phase portraits — •Marc Mendler, Johannes Falk, and Barbara Drossel — Technische Universität Darmstadt, Institut für Festkörperphysik

We propose a new method to obtain phase portraits for stochastic systems, which in many cases give a correct picture of the most likely states of the system. To this purpose, we start with the Fokker-Planck-Equation of a reaction network and separate the dynamics into a convection and a diffusion part. This allows us to draw stochastic phase portraits as vector plots of the convection part, which is also the determining equation for the extrema of the stationary probability density of the system. We apply this method to different example systems, for which the attractors of the deterministic and stochastic model version can differ from each other. We show that noise-induced bistability and oscillations are correctly reproduced in the stochastic phase portrait in these examples, as well as the bifurcations between them.