Abstract
We study generic properties for magnetic fields on Riemannian surfaces by performing perturbations on the space of the 2-form on M with the C∞ topology that preserve the cohomology class. We prove that for a generic magnetic flow all closed orbits are non-degenerate and thus a version of the Kupka–Smale theorem for this class of flows. Finally, we establish some generic properties of the k-jet of the Poincaré map over a closed orbit.
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Recommended by M Tsujii