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Showing 1 to 3 of 3 for “"Lyapunov time"”.
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Neural Closure Models for Chaotic Dynamical Systems
… forecasts beyond a small multiple of the Lyapunov time of the system, even for simple chaotic systems such as the Lorenz 63 model. In this work, we develop a training framework to apply neural ordinary differential equation-based (nODE) closure models to correct errors in the equations of …
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Real-time data assimilation in nonlinear dynamical systems
… goal of this thesis is to develop real-time data assimilation methods, which are applied to create digital twins of thermoacoustic instabilities. Central to digital twins are physics-based low-order models and experimental data. On the one hand, low-order models are computationally …
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Stabilitätsuntersuchungen an Asteroidenbahnen in ausgewählten Bahnresonanzen des Edgeworth-Kuiper-Gürtels
… Untersuchung der numerischen Berechenbarkeit der Lyapunov-Zeit von Asteroidenbahnen. Ausgehend von einer allgemeinen Beschreibung der bei numerischen Berechnungen auftretenden Rundungs- und Diskretisierungsfehler wird deren Wachstum bei numerischen Integrationen ermittelt. Diese, teilweise …