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…
physics.optics2025
Normal form computation of nonlinear dispersion relationship for locally resonant metamaterial
Tao Wang, Cyril Touzé, Haiqin Li +1
This article is devoted to the application of the parametrisation method for invariant manifold with a complex normal form style (CNF), for the derivation of high-order approximati…
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…