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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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Stochastic response of some nonlinear oscillators
by
Helle Hein
Liivi 2-413 50409 Tartu Estonia
Coauthors: Ylo Lepik

Some types of nonlinear differential equations for which the "angular velocity" of the driving mechanism is stochastic are considered. In the first part the equations are linearized. After stochastic averaging differential equations for calculating the mean and variance of the process are put together and integrated numerically. The method is applicable only for small nonlinearity. In the second part computer simulations of Duffing, Ueda and forced vibrations of a pendulum are applied .

Date received: January 5, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calu-48.