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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…
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…