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math.DS2026
Tracking Finite-Time Lyapunov Exponents to Robustify Neural ODEs
Tobias Wöhrer, Christian Kuehn
We investigate finite-time Lyapunov exponents (FTLEs), a measure for exponential separation of input perturbations, of deep neural networks within the framework of continuous-depth…
math.DS2025
Computing Resilience Measures in Dynamical Systems
Andreas Morr, Christian Kuehn, George Datseris
Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metr…
math.DS2024
On the transition between autonomous and nonautonomous systems: the case of FitzHugh-Nagumo's model
Iacopo P. Longo, Elena Queirolo, Christian Kuehn
This work deals with a parametric linear interpolation between an autonomous FitzHugh-Nagumo model and a nonautonomous skewed-problem with the same fundamental structure. This para…