Description
We kindly invite you to the Farkas Miklós Seminar.
14 November (Thursday) 10.15-11.15, BME, H306
Giuseppe Habib (Department of Applied Mechanics, BME)
Challenges in Global Dynamics: Dynamical Integrity Assessment and (small)-Data-Driven Prediction
One of the key challenges of nonlinear dynamical systems is that it can be difficult to exclude the possibility of overlooked behaviors. This is because properties such as the stability of a steady-state solution are only local, meaning they only hold true in a small region around the solution in the phase space. This presents a significant challenge from an engineering standpoint, as stability analysis alone is insufficient for determining a system's robustness against external perturbations, a property known as dynamical integrity. Accurate dynamical integrity assessment is crucial for ensuring safe operation. However, existing methods for evaluating dynamical integrity often face challenges related to computational efficiency and complexity.
This seminar will provide examples of locally stable dynamical systems and an overview of current approaches to dynamical integrity analysis. Then, a new numerical methodology for assessing dynamical integrity will be introduced, demonstrating its effectiveness through various examples. In the second part of the seminar, an alternative method that leverages critical slowing down near steady-state solutions to estimate dynamical integrity will be presented. Finally, a predictive technique for identifying regions with limited basin stability will be discussed
The organizers
(István Faragó, János Karátson, Róbert Horváth, Miklós Mincsovics, Gabriella Svantnerné Sebestyén)
Visit the homepage of the seminar: http://math.bme.hu/farkas_seminar