Comparison of nonlinear mappings for reduced-order modelling of vibrating structures: normal form theory and quadratic manifold method with modal derivatives. - Alessandra Vizzaccaro; Loïc Salles; Cyril Touzé (CoRR, 2020)

Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements. - Alessandra Vizzaccaro; Arthur Givois; Pierluigi Longobardi; Yichang Shen; Jean-François Deü; Loïc Salles; Cyril Touzé; Olivier Thomas (CoRR, 2020)

Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures. - Alessandra Vizzaccaro; Yichang Shen; Loïc Salles; Jirí Blahos; Cyril Touzé (CoRR, 2020)

Model Order Reduction based on Direct Normal Form: Application to Large Finite Element MEMS Structures Featuring Internal Resonance. - Andrea Opreni; Alessandra Vizzaccaro; Attilio Frangi; Cyril Touzé (CoRR, 2021)

Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques. - Cyril Touzé; Alessandra Vizzaccaro; Olivier Thomas (CoRR, 2021)

High order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to large amplitude vibrations and uncovering of a folding point. - Alessandra Vizzaccaro; Andrea Opreni; Loïc Salles; Attilio Frangi; Cyril Touzé (CoRR, 2021)

Nonlinear model order reduction of resonant piezoelectric micro-actuators: an invariant manifold approach. - Andrea Opreni; Giorgio Gobat; Cyril Touzé; Attilio Frangi (CoRR, 2023)

Direct parametrisation of invariant manifolds for generic non-autonomous systems including superharmonic resonances. - Alessandra Vizzaccaro; Giorgio Gobat; Attilio Frangi; Cyril Touzé (CoRR, 2023)

Reduced order modelling of fully coupled electro-mechanical systems through invariant manifolds with applications to microstructures. - Attilio Frangi; Alessio Colombo; Alessandra Vizzaccaro; Cyril Touzé (CoRR, 2023)

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; Alessio Colombo; Attilio Frangi; Cyril Touzé (CoRR, 2024)