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.
@article{IM2_1989_32_1_a2,
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/}
}
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/