Floquet Fibre Geometry and Higher-Order Reduced Coordinates for Off-Manifold Transients near Nonlinear Aeroelastic Flutter
The paper investigates how to accurately reduce complex aeroelastic dynamics near a limit cycle by projecting high-dimensional states onto lower-dimensional coordinates. It finds that using the correct geometric projection, specifically along the strong-stable quotient fibre, yields an accurate first-order description. Incorrect projections introduce errors scaling as O(δ), proving that proper invariant-fibre geometry is essential for reliable model reduction.