Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 24: Poster I
DY 24.40: Poster
Wednesday, March 28, 2007, 16:00–18:00, Poster D
Stochastic and Deterministic 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, nanowires, or certain friction models are characterized by a non-trivial hysteretic behavior, implying e.g. the appearance of nested sub-loops and a complex dependence on previous input events (hysteretic memory).
We study properties of hysteretic output time series {yn} for stochastic and chaotic input scenarios with similar characteristics using a discrete Preisach-hysteresis transducer. Our results show that stochastic and deterministic trajectories are treated differently by hysteresic systems. The probability distributions p(y) show differing behavior. In addition, return maps (yn+1,yn), referring to higher order correlations of the signals, show different structures, especially taking into account values belonging to even or odd memory length. Using the sensitivity of the Preisach-hysteresis transducer to properties of the input time series one is able to distinguish deterministic chaos from noise. On the other hand, since hysteresis creates long-term memory we observe a slow decay of the autocorrelation function Cy(τ) for both types of signals. Spectral properties are changed correspondingly.