There is no "Shadowing lemma" for partially hyperbolic dynamics

Authors
Bonatti, C Diaz, LJ Turcat, G
Citation
C. Bonatti et al., There is no "Shadowing lemma" for partially hyperbolic dynamics, CR AC S I, 330(7), 2000, pp. 587-592
Citations number
14
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
330
Issue
7
Year of publication
2000
Pages
587 - 592
Database
ISI
SICI code
0764-4442(20000401)330:7<587:TIN"LF>2.0.ZU;2-X
Abstract
We show that the "Shadowing lemma" is not verified (not even generically) f or partially hyperbolic diffeomorphisms which are robustly transitive. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS .