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ON LINEAR STABILITY OF KAM TORI VIA THE CRAIG--WAYNE--BOURGAIN METHOD.

Authors :
XIAOLONG HE
JIA SHI
YUNFENG SHI
XIAOPING YUAN
Source :
SIAM Journal on Mathematical Analysis. 2024, Vol. 56 Issue 3, p3605-3645. 41p.
Publication Year :
2024

Abstract

In this paper, we revisit the Melnikov's persistency problem and illustrate that the Craig--Wayne--Bourgain method can be strengthened to obtain both the existence and linear stability of the invariant tori. The proof is free from the second Melnikov's condition. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*TORUS

Details

Language :
English
ISSN :
00361410
Volume :
56
Issue :
3
Database :
Academic Search Index
Journal :
SIAM Journal on Mathematical Analysis
Publication Type :
Academic Journal
Accession number :
178458628
Full Text :
https://doi.org/10.1137/22M1512958