On homoclinic splitting problems

Authors
Galavotti, G Gentile, G Mastropietro, V
Citation
G. Galavotti et al., On homoclinic splitting problems, PHYSICA D, 137(1-2), 2000, pp. 202-204
Citations number
4
Categorie Soggetti
Physics
Journal title
PHYSICA D
ISSN journal
01672789 → ACNP
Volume
137
Issue
1-2
Year of publication
2000
Pages
202 - 204
Database
ISI
SICI code
0167-2789(20000301)137:1-2<202:OHSP>2.0.ZU;2-X
Abstract
Counterexamples to the homoclinic splitting claimed in the paper "Existence of exponentially small separatrix settings and homoclinic connections betw een whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems ': by Rudnev and Wiggins [Physica D 114 (1998) 3-80] are given. These count erexamples invalidate the proofs of the main results of that paper. (C) 200 0 Elsevier Science B.V. All rights reserved.