Using a maximal monotone graph we can deal with many nonlinear dynamical problems involving e.g. dry friction or impacts. When submitted to an external stochastic term, a class of differential inclusions is obtained. Existence and uniqueness results are recalled. An adapted numerical scheme is presented. Numerical results are presented for different examples of models.
- Design Engineering Division and Computers and Information in Engineering Division
Multivalued Stochastic Differential Equations and Its Applications in Dynamics
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Bernardin, F, Lamarque, CH, & Schatzman, M. "Multivalued Stochastic Differential Equations and Its Applications in Dynamics." Proceedings of the ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Chicago, Illinois, USA. September 2–6, 2003. pp. 1473-1477. ASME. https://doi.org/10.1115/DETC2003/VIB-48477
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