Emil Minchev, Takanobu Okazaki, Nobuyuki Kenmochi, "Ordinary differential systems describing hysteresis effects and numerical simulations", Abstract and Applied Analysis, vol. 7, Article ID 150436, 21 pages, 2002. https://doi.org/10.1155/S108533750220603X
Ordinary differential systems describing hysteresis effects and numerical simulations
We consider a general class of ordinary differential systems which describes input-output relations of hysteresis types, for instance, play or stop operators. The system consists of two first-order nonlinear ODEs and one of them includes a subdifferential operator depending on the unknowns. Our main objective of this paper is to give an existence-uniqueness result for the system as well as to give various numerical simulations of input-output relations which the system describes as typical cases.
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