On the Dynamics of Nonlinear Hysteretic Systems
نویسندگان
چکیده
We show that the coupling of simple dynamical systems with a typical model for hysteresis, the Preisach model, leads to interesting new scenarios in nonlinear dynamics. The Preisach model is known from many branches of science to be a universal model for complex, non-local hysteresis. We provide results for three cases, for two, where the Preisach model simply acts as hysteretic transducer for stochastic and deterministically chaotic input, respectively, and thirdly for a model with hysteretic feedback into a nonlinear system. We find, for instance, new kinds of attractors and a fractal dependence of the asymptotic behavior as function of the starting values.
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