Numerical integration of ODEs with Preisach nonlinearity
نویسندگان
چکیده
In this article we discuss applications of the numerical integration methods to the ordinary differential equations with the Preisach nonlinearity. We use a canonical model of the iron pendulum in the magnetic field as an example of the technique. In particular we use guaranteed estimates of the integration error to rigorously prove the chaotic behaviour of the system considered. MSC 2000: Primary: 47H30, Secondary: 34C55, 37D45, 34-04 ∗This research was partially supported by the Enterprise Ireland, Grants SC/2000/138 and SC/2003/376.
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