Ordinary differential systems describing hysteresis effects and numerical simulations

Emil Minchev, Takanobu Okazaki and Nobuyuki Kenmochi

Abstract and Applied Analysis, 2002, vol. 7, 1-21

Abstract:

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:150436

DOI: 10.1155/S108533750220603X

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