Abstract
©2015 AIMSCIENCESWe prove that there exist periodic orbits on almost all compact regular energy levels of a Hamiltonian function defined on a twisted cotangent bundle over the two-sphere. As a corollary, given any Riemannian two-sphere and a magnetic field on it, there exists a closed magnetic geodesic for almost all kinetic energy levels.
| Original language | English |
|---|---|
| Pages (from-to) | 141-146 |
| Journal | Journal of Modern Dynamics |
| Volume | 9 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2015 |
| Externally published | Yes |
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