Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems
Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 39-62

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A theorem on preservation of quasiperiodic solutions under small perturbations of the Hamiltonian is proved for a certain class of infinite-dimensional Hamiltonian systems. Hamiltonian perturbations of the one-dimensional Schrödinger equation are considered as examples. Bibliography: 10 titles.
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     author = {S. B. Kuksin},
     title = {Perturbation of quasiperiodic solutions of infinite-dimensional {Hamiltonian} systems},
     journal = {Izvestiya. Mathematics },
     pages = {39--62},
     publisher = {mathdoc},
     volume = {32},
     number = {1},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_32_1_a2/}
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S. B. Kuksin. Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 39-62. http://geodesic.mathdoc.fr/item/IM2_1989_32_1_a2/