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Corrigendum to "Oscillatory motions in restricted N-body problems" [J. Differential Equations 265 (2018) 779–803].

Authors :
Alvarez-Ramírez, M.
García, A.
Palacián, J.F.
Yanguas, P.
Source :
Journal of Differential Equations. Sep2019, Vol. 267 Issue 7, p4525-4536. 12p.
Publication Year :
2019

Abstract

At the beginning of paper [1] there is an error that spreads along the rest of the work and the conclusions are not correct in their present form. Precisely, in Section 2, page 783, there is a contradiction related to the scaling. In the paragraph before formula (6) it is said that t → ε 3 t but Hamiltonian (6) is not scaled accordingly. We have fixed the problem and, after performing due changes, the conclusions are obtained. The existence of the manifolds at infinity is guaranteed (Theorem 3.1) and the transversal intersection of them is concluded in Theorem 5.1. The applications in Section 6 are also valid after adapting them to the new version of the theorems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
267
Issue :
7
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
136824075
Full Text :
https://doi.org/10.1016/j.jde.2019.04.028