- Tytuł:
- Numerical integration of differential equations in the presence of first integrals: observer method
- Autorzy:
-
Busvelle, Eric
Kharab, Rachid
Maciejewski, A.
Strelcyn, Jean-Marie - Powiązania:
- https://bibliotekanauki.pl/articles/1340587.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
integrable systems
numerical integration
chaotic behaviour
non-integrable systems
ordinary differential equations - Opis:
- We introduce a simple and powerful procedure-the observer method-in order to obtain a reliable method of numerical integration over an arbitrary long interval of time for systems of ordinary differential equations having first integrals. This aim is achieved by a modification of the original system such that the level manifold of the first integrals becomes a local attractor. We provide a theoretical justification of this procedure. We report many tests and examples dealing with a large spectrum of systems with different dynamical behaviour. The comparison with standard and symplectic methods of integration is also provided.
- Źródło:
-
Applicationes Mathematicae; 1993-1995, 22, 3; 373-418
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł