Geodesic
Subharmonic solutions of Hamiltonian equations on tori
Nancy Hingston1
1 Mathematics and Statistics<br/>Science Complex P231<br/>The College of New Jersey<br/>P.O. Box 7718<br/>Ewing, NJ 08628-0718<br/>United States
Annals of mathematics, Tome 170 (2009) no. 2, pp. 529-560.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let the torus $ T^{2n}$ be equipped with the standard symplectic structure and a periodic Hamiltonian $\mathcal{H} \in C^{3}(S^{1}\times T^{2n}, \mathbb{R})$. We look for periodic orbits of the Hamiltonian flow $ \dot{\boldsymbol{u}}(t)=J\nabla\mathcal{H} (t,\boldsymbol(t)). $ A subharmonic solution is a periodic orbit with minimal period an integral multiple $ m $ of the period of $\mathcal{H} $, with $ m>1 $.
DOI : 10.4007/annals.2009.170.529

Nancy Hingston 1

1 Mathematics and Statistics<br/>Science Complex P231<br/>The College of New Jersey<br/>P.O. Box 7718<br/>Ewing, NJ 08628-0718<br/>United States 
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Nancy Hingston. Subharmonic solutions of Hamiltonian equations on tori. Annals of mathematics, Tome 170 (2009) no. 2, pp. 529-560. doi : 10.4007/annals.2009.170.529. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.170.529/

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