Red uction of nonlinear dynamic systems by phase space analysis

  • E. Becker Institut für Atmosphärenphysik an der Universität Rostock e. v. Kühlungsborn
  • U . Brosa Brosa GmbH
  • T. A. Kowalewski Max-Planck-Institut für Strömungsforschung

Abstract

We look directly into the phase space of experimental or numerical data to derive nonlinear equations of motion. Our example is the dynamics of viscous droplets. While the smallest useful dimension of phase space turns out to be three, we apply methods to visualize four, five, six dimensions and more. These methods are Poincare sections and condensation of variables. The resulting equations of motion are extremely simple but nevertheless realistic.


 

Keywords

References

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Published
Sep 1, 2023
How to Cite
BECKER, E.; BROSA, U .; KOWALEWSKI, T. A.. Red uction of nonlinear dynamic systems by phase space analysis. Computer Assisted Methods in Engineering and Science, [S.l.], v. 1, n. 1-2, p. 39-48, sep. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1528>. Date accessed: 13 nov. 2024.
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Articles