Ordinary differential systems describing hysteresis effects and numerical simulations
Minchev, Emil ; Okazaki, Takanobu ; Kenmochi, Nobuyuki
Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 563-583 / Harvested from Project Euclid
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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.
Publié le : 2002-05-14
Classification:  34C55,  34A34 
@article{1050348306,
     author = {Minchev, Emil and Okazaki, Takanobu and Kenmochi, Nobuyuki},
     title = {Ordinary differential systems describing hysteresis effects and numerical
simulations},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 563-583},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348306}
}

Minchev, Emil; Okazaki, Takanobu; Kenmochi, Nobuyuki. Ordinary differential systems describing hysteresis effects and numerical
simulations. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  563-583. http://gdmltest.u-ga.fr/item/1050348306/