A SHADOWING THEOREM FOR ORDINARY DIFFERENTIAL-EQUATIONS

Authors
COOMES BA KOCAK H PALMER KJ
Citation
Ba. Coomes et al., A SHADOWING THEOREM FOR ORDINARY DIFFERENTIAL-EQUATIONS, Zeitschrift fur angewandte Mathematik und Physik, 46(1), 1995, pp. 85-106
Citations number
21
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
46
Issue
1
Year of publication
1995
Pages
85 - 106
Database
ISI
SICI code
0044-2275(1995)46:1<85:ASTFOD>2.0.ZU;2-L
Abstract
A new notion of shadowing of a pseudo orbit, an approximate solution, of an autonomous system of ordinary differential equations by an assoc iated nearby true orbit is introduced. Then a general theorem which gu arantees the existence of shadowing of pseudo orbits in compact hyperb olic sets is proved.