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20212023
most citedReduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions

77 citations · 118 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.NA2023★ 2 cited

Nonlinear model order reduction of resonant piezoelectric micro-actuators: an invariant manifold approach

Andrea Opreni, Giorgio Gobat, Cyril Touzé +1

This paper presents a novel derivation of the direct parametrisation method for invariant manifolds able to build simulation-free reduced-order models for nonlinear piezoelectric s…

math.NA2023★ 26 cited

Direct parametrisation of invariant manifolds for non-autonomous forced systems including superharmonic resonances

Alessandra Vizzaccaro, Giorgio Gobat, Attilio Frangi +1

The direct parametrisation method for invariant manifold is a model-order reduction technique that can be applied to nonlinear systems described by PDEs and discretised e.g. with a…