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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…
math.DS2024
Extended invariant cones as Nonlinear Normal Modes of inhomogeneous piecewise linear systems
A. Yassine Karoui, Remco I. Leine
The aim of this paper is to explore the relationship between invariant cones and nonlinear normal modes in piecewise linear mechanical systems. As a key result, we extend the invar…