2 papers
math.DS2026
Parametric Spectral Submanifolds across Hopf Bifurcations with Applications to Fluid Dynamics
James King, Bálint Kaszás, Gergely Buza +2
We investigate the persistence and regularity of spectral submanifolds (SSMs) in high-dimensional parametric dynamical systems undergoing a Hopf bifurcation. By analyzing how reson…
physics.flu-dyn2024
Data-driven stabilization of an oscillating flow with LTI controllers
W. Jussiau, C. Leclercq, F. Demourant +1
This paper presents advances towards the data-based control of periodic oscillator flows, from their fully-developed regime to their equilibrium stabilized in closed-loop, with lin…