3 papers
math.NA2026
On the validity limits of the parametrisation method for invariant manifolds: an assessment of practical criteria for vibrating systems
André de Figueiredo Stabile, Aurélien Grolet, Alessandra Vizzaccaro +1
The parametrisation method for invariant manifolds is a powerful technique for deriving reduced-order models in the context of nonlinear vibrating systems, allowing accurate comput…
cs.CE2025
Reduced order modelling of Hopf bifurcations for the Navier-Stokes equations through invariant manifolds
Alessio Colombo, Alessandra Vizzaccaro, Cyril Touzé +3
This work introduces a parametric simulation-free reduced order model for incompressible flows undergoing a Hopf bifurcation, leveraging the parametrisation method for invariant ma…
math.NA2024
Reduced-order modelling of parameter-dependent systems with invariant manifolds: application to Hopf bifurcations in follower force problems
André de F. Stabile, Alessandra Vizzaccaro, Loïc Salles +3
The direct parametrisation method for invariant manifolds is adjusted to consider a varying parameter. More specifically, the case of systems experiencing a Hopf bifurcation in the…