Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 50: Statistical Physics of Biological Systems I (Joint Session BP/DY)

DY 50.10: Vortrag

Donnerstag, 23. März 2017, 17:15–17:30, ZEU 250

Burst-Noise induced bifurcations in the Schlögl-Model — •Johannes Falk, Marc Mendler, and Barbara Drossel — TU Darmstadt, Germany

We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour. The system is a modified version of the Schlögl model, which is a chemical reaction system with only one type of molecule. The strength of the intrinsic noise is varied without changing the deterministic description by introducing bursts in the autocatalytic production step. We study the transitions between monostable and bistable behavior in this system by evaluating the number of maxima of the stationary probability distribution. We find that changing the size of bursts can destroy and even induce saddle-node bifurcations. This means that a bursty production of molecules can qualitatively change the dynamics of a chemical reaction system even when the deterministic description remains unchanged.