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math.DS2026
Koopman-based stability analysis of differential-algebraic equations with applications to frictional multibody systems
Alexander Schütz, Fabia Bayer, Remco I. Leine
Periodic solutions of differential-algebraic equations (DAEs) and ordinary differential equations (ODEs) can be determined using the harmonic balance method (HBM), which is a frequ…
math.DS2026
Model order reduction of piecewise linear mechanical systems using invariant cones
A. Yassine Karoui, Remco I. Leine
We present a methodology that extends invariant manifold theory to a class of autonomous piecewise linear systems with nonsmoothness at the equilibrium, providing a framework for m…