Generically, Arnold-Liouville Systems Cannot be Bi-Hamiltonian
We state and prove that a certain class of smooth functions, said to be BH-separable, is a meagre subset for the Fréchet topology. Because these functions are the only admissible Hamiltonians for Arnold-Liouville systems admitting a bi-Hamiltonian structure, we get that, generically, Arnold-Liouvill...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211431 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Generically, Arnold-Liouville Systems Cannot be Bi-Hamiltonian. Hassan Boualem and Robert Brouzet. SIGMA 17 (2021), 096, 17 pages |