On démontre qu’un hamiltonien convexe générique au sens de Mañé n’a que des orbites périodiques non dégénérées sur un niveau d’énergie donné. Ce résultat a déjà été énoncé, mais pas démontré, dans la littérature.
We prove that Mañé generic convex Hamiltonians have only non-degenerate periodic orbits on a given energy level. This result was stated, but not proved, in the literature.
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@article{JEP_2024__11__363_0,
author = {Patrick Bernard},
title = {Non-degeneracy of closed orbits for generic~potentials},
journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
pages = {363--393},
publisher = {\'Ecole polytechnique},
volume = {11},
year = {2024},
doi = {10.5802/jep.255},
language = {en},
url = {https://jep.centre-mersenne.org/articles/10.5802/jep.255/}
}
TY - JOUR AU - Patrick Bernard TI - Non-degeneracy of closed orbits for generic potentials JO - Journal de l’École polytechnique — Mathématiques PY - 2024 SP - 363 EP - 393 VL - 11 PB - École polytechnique UR - https://jep.centre-mersenne.org/articles/10.5802/jep.255/ DO - 10.5802/jep.255 LA - en ID - JEP_2024__11__363_0 ER -
%0 Journal Article %A Patrick Bernard %T Non-degeneracy of closed orbits for generic potentials %J Journal de l’École polytechnique — Mathématiques %D 2024 %P 363-393 %V 11 %I École polytechnique %U https://jep.centre-mersenne.org/articles/10.5802/jep.255/ %R 10.5802/jep.255 %G en %F JEP_2024__11__363_0
Patrick Bernard. Non-degeneracy of closed orbits for generic potentials. Journal de l’École polytechnique — Mathématiques, Tome 11 (2024), pp. 363-393. doi : 10.5802/jep.255. https://jep.centre-mersenne.org/articles/10.5802/jep.255/
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