Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Poster II

DY 29.3: Poster

Donnerstag, 28. Februar 2008, 16:00–18:00, Poster C

Chaotic and Stochastic Dynamics in Hysteretic Systems — •Sven Schubert and Günter Radons — Chemnitz University of Technology, D-09107 Chemnitz

Many physical and technical systems such as shape memory alloys, magnetic nanoparticles, or certain friction models are characterized by a non-trivial hysteretic behavior, implying e.g. a complex dependence on previous input events (hysteretic memory).

On that score, we study properties of hysteretic output time series for different well understood input scenarios with similar characteristics using a discrete Preisach-hysteresis transducer.

For some aspects the chaotic trajectory of the logistic map and the corresponding stochastic process are treated differently under hysteresis. On the other hand, since hysteresis creates long-term memory we observe e.g. a slow decay of the autocorrelation function for both types of signals. For trajectories of higher iterations of the logistic map some of the observed properties converge to the results for the stochastic trajectory. The hysteretic memory, however, still distinguish between deterministic chaos and noise.