Abstract
We construct an invariant measure for the dynamical system generated by a nonlinear Schroedinger equation. Conditions of the boundedness of the measure constructed are obtained. The result allows us to apply the Poincare recurrence theorem which (partially) explains the Fermi - Pasta - Ulam phenomenon well-known in the theory of nonlinear waves. 20 refs. (author).
Citation Formats
Zhidkov, P E.
An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera.
JINR: N. p.,
1994.
Web.
Zhidkov, P E.
An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera.
JINR.
Zhidkov, P E.
1994.
"An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera."
JINR.
@misc{etde_10102778,
title = {An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera}
author = {Zhidkov, P E}
abstractNote = {We construct an invariant measure for the dynamical system generated by a nonlinear Schroedinger equation. Conditions of the boundedness of the measure constructed are obtained. The result allows us to apply the Poincare recurrence theorem which (partially) explains the Fermi - Pasta - Ulam phenomenon well-known in the theory of nonlinear waves. 20 refs. (author).}
place = {JINR}
year = {1994}
month = {Dec}
}
title = {An invariant measure for a nonlinear Schroedinger equation; Invariantnaya mera dlya nelinejnogo uravneniya Shredingera}
author = {Zhidkov, P E}
abstractNote = {We construct an invariant measure for the dynamical system generated by a nonlinear Schroedinger equation. Conditions of the boundedness of the measure constructed are obtained. The result allows us to apply the Poincare recurrence theorem which (partially) explains the Fermi - Pasta - Ulam phenomenon well-known in the theory of nonlinear waves. 20 refs. (author).}
place = {JINR}
year = {1994}
month = {Dec}
}