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Indexed by:Journal Papers

Date of Publication:2015-07-01

Journal:JOURNAL OF MATHEMATICAL PHYSICS

Included Journals:SCIE、Scopus

Volume:56

Issue:7

ISSN No.:0022-2488

Abstract:In this paper, we consider the d-dimensional beam equation with convolution potential under periodic boundary conditions. We will apply the Kolmogorov-Arnold-Moser theorem in Eliasson and Kuksin [Ann. Math. 172, 371-435 (2010)] into this system and obtain that for sufficiently small epsilon, there is a large subset S' of S such that for all s is an element of S', the solution u of the unperturbed system persists as a time-quasiperiodic solution which has all Lyapunov exponents equal to zero and whose linearized equation is reducible to constant coefficients. (C) 2015 AIP Publishing LLC.