Dynamical Integrity: A Step after Stability

来源:力学与工程学院  返回:ca88     日期:2019/5/20 14:29:33   点击数:1833  

时间:2019-05-27 14:30


报告人:Prof. Stefano Lenci


个人简介: Stefano Lenci is a full professor at Polytechnic University of Marche (Ancona, Italy). He is also the president of the Italian Association for Theoretical and Applied Mechanics (Aimeta). He is active in editorial activity and is the associate editor of more than ten international journals, such as Nonlinear Dynamics, International Journal of Non-linear Mechanics, European Journal of Mechanics A/Solids, ASME Journal of Vibration and Acoustics, ASME Journal of Computational and Nonlinear Dynamics, Mathematical Problems in Engineering, etc. He was the guest editor of many Journal Special Issues. He has more than 300 peer-reviewed publications with over 3000 citations.



It is nowadays understood that, for engineering systems the stability of solution in classical (Lyapunov) sense is not enough for practical purposes, since the solution may have a basin of attractions very narrow and such that even small imperfections/disturbances may lead the system to another coexisting solution, commonly representing an engineering unwanted outcome for the system. It is not only a matter of smallness of basins of attraction, as the basin may be large but very fractal, with only a small compact part. The investigation of this topic, which consists of determining the robustness of the solution, or its "practical stability", is named dynamical integrity and entails investigating the properties of safe basin. It is the object of this presentation.



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