# American Institute of Mathematical Sciences

2007, 2007(Special): 804-813. doi: 10.3934/proc.2007.2007.804

## Large time behaviour of solutions of nonlinear ode describing hysteresis

 1 Department of Mathematics, Faculty of Education, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan

Received  September 2006 Revised  August 2007 Published  September 2007

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.
Citation: Takanobu Okazaki. Large time behaviour of solutions of nonlinear ode describing hysteresis. Conference Publications, 2007, 2007 (Special) : 804-813. doi: 10.3934/proc.2007.2007.804
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