@article{8bd05f1e78e0466ba0db648722edf92e,
title = "Construction of nonlinear quasimodes near elliptic periodic orbits",
abstract = "We generalize to arbitrary manifolds with elliptic periodic geodesics a quasimode construction for the nonlinear Schr{\"o}dinger equation first discovered by the last author.",
keywords = "Gaussian beams, Nonlinear Schr{\"o}dinger equations, Quasimodes",
author = "Pierre Albin and Hans Christianson and Marzuola, {Jeremy L.} and Laurent Thomann",
note = "Funding Information: P.A. was supported by an NSF joint institutes postdoctoral fellowship (NSF grant DMS-0635607002 ) and a postdoctoral fellowship of the Foundation Sciences Math{\'e}matiques de Paris. J.L.M. was supported in part by an NSF postdoctoral fellowship (NSF grant DMS-0703531 ) at Columbia University and a Hausdorff Center Postdoctoral Fellowship at the University of Bonn. He would also like to thank both the Institut Henri Poincar{\'e} and the Courant Institute for being generous hosts during part of the completion of this work. L.T. was supported in part by the grants ANR-07-BLAN-0250 and ANR-10-JCJC 0109 of the Agence Nationale de la Recherche . In addition, the authors with to thank Rafe Mazzeo and especially Colin Guillarmou for helpful conversations throughout the preparation of this work and the referee for extremely helpful suggestions on the exposition. ",
year = "2012",
month = feb,
day = "15",
doi = "10.1016/j.physd.2011.10.011",
language = "English (US)",
volume = "241",
pages = "409--425",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier B.V.",
number = "4",
}