Dresden 2006 – scientific programme
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.48: Poster
Thursday, March 30, 2006, 16:00–18:00, P1
Simple dynamical systems with Preisach nonlinearity — •Sven Schubert, Roland Lange, and Günter Radons — Chemnitz University of Technology, 09107 Chemnitz
Many physical and technical systems such as shape memory alloys 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.
We study properties of output time series {yn} and the system memory behavior accrued from using a discrete Preisach-hysteresis transducer and logistic map input scenarios {xn}. We demonstrate the sensitivity of the Preisach-hysteresis transducer to certain properties of the input time series which are usually not detected by standard time series analysis tools.
In addition we consider the iterates of the composition of a logistic map and a hysteresis transducer resulting in a logistic Preisach-operator. The aim is to gain a deeper understanding of dynamical systems with components showing complex hysteretic behavior. Our results show the appearance of fractal structures in dependence on the initial state and also a stabilizing influence of the hysteresis transducer.