A comparison of parametrizations of invariant manifolds for nonlinear model reduction
Stoychev, Alexander K.; Römer, Ulrich J.
1
1 Institut für Technische Mechanik (ITM), Karlsruher Institut für Technologie (KIT)
11 Institut für Technische Mechanik (ITM), Karlsruher Institut für Technologie (KIT)
Abstract:
A comparison of three different parametrization styles for the approximation of invariant manifolds is performed
for eight different dynamical systems. The impact of the parametrization style on finite order approximations is
investigated by comparison to exact solutions. A modified parametrization style is shown to yield superior results for two
example systems thus motivating further research into the development of better parametrizations in the future.
for eight different dynamical systems. The impact of the parametrization style on finite order approximations is
investigated by comparison to exact solutions. A modified parametrization style is shown to yield superior results for two
example systems thus motivating further research into the development of better parametrizations in the future.
| Zugehörige Institution(en) am KIT | Institut für Technische Mechanik (ITM) |
| Publikationstyp | Vortrag |
| Publikationsdatum | 20.06.2023 |
| Sprache | Englisch |
| Identifikator | KITopen-ID: 1000162276 |
| Veranstaltung | 3. International Nonlinear Dynamics Conference (NODYCON 2023), Rom, Italien, 18.06.2023 – 22.06.2023 |