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Integrability of Hamiltonian systems and transseries expansions

✍ Scribed by Werner Balser; Masafumi Yoshino


Publisher
Springer-Verlag
Year
2010
Tongue
French
Weight
334 KB
Volume
268
Category
Article
ISSN
0025-5874

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Hamiltonian Dynamics of Polygons and Int
✍ Michael L Frankel πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 196 KB

We introduce a class of Hamiltonian systems generating motion of polygons in plane and define ''geometrical'' Hamilton functions depending arbitrarily on distances between the vertices and the areas of the inscribed triangles. The motion preserves the centroid and the moment of inertia if unit masse