Applied and Computational Math Seminar
Global Dynamics Computation for Parameterized ODE Systems
Ewerton Rocha Vieira (Rutgers University)
Location: Hill 705
Date & time: Tuesday, 11 April 2023 at 11:00AM - 12:00PM
In this talk, we explore the challenges faced in analyzing time-varying systems with multi-scale dynamics. While traditional methods model these systems using ordinary differential equations (ODE), the direct analysis of such models is often difficult due to poorly measured parameters and numerous variables. To overcome these challenges, we propose a novel approach based on combinatorics and algebraic topology. We move away from classical ODE analysis and towards a more robust, scalable, and computable description of global dynamics in terms of annotated graphs.