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21 November 2002 Ordinary differential systems describing hysteresis effects and numerical simulations
Emil Minchev, Takanobu Okazaki, Nobuyuki Kenmochi
Abstr. Appl. Anal. 7(11): 563-583 (21 November 2002). DOI: 10.1155/S108533750220603X


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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Emil Minchev. Takanobu Okazaki. Nobuyuki Kenmochi. "Ordinary differential systems describing hysteresis effects and numerical simulations." Abstr. Appl. Anal. 7 (11) 563 - 583, 21 November 2002.


Received: 1 May 2002; Published: 21 November 2002
First available in Project Euclid: 14 April 2003

zbMATH: 1022.34038
MathSciNet: MR1945446
Digital Object Identifier: 10.1155/S108533750220603X

Primary: 34A34 , 34C55

Rights: Copyright © 2002 Hindawi

Vol.7 • No. 11 • 21 November 2002
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