From the 1 of 3 linked papers with an AI index.
3 papers
Blow-up Parameter Landscapes for Polynomial Dynamical Systems
Emil Graf, Ioannis G. Kevrekidis, Alex Townsend
The paper presents a numerical method that automatically identifies regions in parameter space where polynomial ordinary differential equations exhibit finite-time blow‑up, using p…
Learning Parametric Koopman Decompositions for Prediction and Control
Yue Guo, Milan Korda, Ioannis G. Kevrekidis +1
We present an approach to construct approximate Koopman-type decompositions for dynamical systems depending on static or time-varying parameters. Our method simultaneously construc…
Machine Learning for the identification of phase-transitions in interacting agent-based systems: a Desai-Zwanzig example
Nikolaos Evangelou, Dimitrios G. Giovanis, George A. Kevrekidis +2
Deriving closed-form, analytical expressions for reduced-order models, and judiciously choosing the closures leading to them, has long been the strategy of choice for studying phas…