Large time behaviour of solutions of nonlinear ode describing hysteresis

Pages: 804 - 813, Issue Special, September 2007

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Takanobu Okazaki - Department of Mathematics, Faculty of Education, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan (email)

Abstract: We consider a nonlinear ordinary differential system which describes hysteresis input-output relations. The main part of this system is governed by subdifferential operator and it is used to present various hysteresis effects.

  In real phenomena, many hysteresis branches are observed. We are interested in verifying our system to express such branches. Our main objective of this talk is to investigate the precise behaviour of orbits of solutions of our system and show some numerical simulations.

Keywords:  Hysteresis, subdi®erentials, large time behaviour.
Mathematics Subject Classification:  Primary: 34C55; Secondary: 70K05.

Received: September 2006;      Revised: August 2007;      Published: September 2007.