Dresden 2009 – scientific programme

Parts | Days | Selection | Search | Downloads | Help

DY: Fachverband Dynamik und Statistische Physik

DY 27: Poster II

DY 27.6: Poster

Thursday, March 26, 2009, 16:00–18:00, P1B

Dynamics of Hysteretic Systems with Preisach-Nonlinearity — •Andreas Zienert and Günter Radons — Chemnitz University of Technology, D-09107 Chemnitz

Hysteresis plays an important role in science and engineering. In most applications dynamical systems are coupled with hysteretic subsystems. This leads to differential equations with hysteresis operators. We investigate the model of an iron pendulum within an external magnetic field. The dynamics of the pendulum can be described with a second order ordinary differential equation. The interaction with the magnetic field is modeled by a Preisach-operator, because the Preisach-model has proven to be an application independent tool for describing hysteretic systems.

The focus of our research is on whether such a hysteretic iron pendulum shows regular or chaotic dynamics. The main problem is that the phase space is infinite-dimensional due to the memory of the Preisach-operator. We calculate power spectra, apply the 0-1-Test for chaos and estimate the largest Lyapunov exponent for some phase space projection. For the latter we also provide a method considering the full memory stored by the Preisach-operator.