Geodesic
Perturbations of geodesic flows by recurrent dynamics
Journal of the European Mathematical Society, Tome 19 (2017) no. 3, pp. 905-956 Cet article a éte moissonné depuis la source EMS Press

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We present a mechanism for Arnold diffusion based on intertwining homoclinic orbits to a normally hyperbolic invariant manifold, followed for long time intervals, with orbits of the dynamics restricted to that manifold, followed for short time intervals. The resulting trajectories are rather fast, and their construction is explicit, so they can be used in concrete applications.
DOI : 10.4171/jems/683
Classification : 37-XX
Keywords: Mather acceleration theorem, Arnold diffusion, shadowing 
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     author = {Marian Gidea and Rafael de la Llave},
     title = {Perturbations of geodesic flows by recurrent dynamics},
     journal = {Journal of the European Mathematical Society},
     pages = {905--956},
     year = {2017},
     volume = {19},
     number = {3},
     doi = {10.4171/jems/683},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/683/}
}
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Marian Gidea; Rafael de la Llave. Perturbations of geodesic flows by recurrent dynamics. Journal of the European Mathematical Society, Tome 19 (2017) no. 3, pp. 905-956. doi: 10.4171/jems/683

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