SEMIHYPERBOLIC MAPPINGS

Authors
DIAMOND P KLOEDEN P KOZYAKIN V POKROVSKII A
Citation
P. Diamond et al., SEMIHYPERBOLIC MAPPINGS, Journal of nonlinear science, 5(5), 1995, pp. 419-431
Citations number
16
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,Mechanics
Journal title
Journal of nonlinear science → ACNP
ISSN journal
09388974
Volume
5
Issue
5
Year of publication
1995
Pages
419 - 431
Database
ISI
SICI code
0938-8974(1995)5:5<419:SM>2.0.ZU;2-8
Abstract
Semihyperbolic dynamical systems generated by Lipschitz mappings are i nvestigated. A special form of robustness of topological entropy under perturbations of a semihyperbolic mapping is discussed, and weakened forms of persistence and of structural stability are considered. Proof s are based on the concept of bi-shadowing, which is a stronger versio n of the shadowing lemma.