Jets of differential equations having integrable extensions

Authors
Villarini, M
Citation
M. Villarini, Jets of differential equations having integrable extensions, ERGOD TH DY, 18, 1998, pp. 1527-1544
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
18
Year of publication
1998
Part
6
Pages
1527 - 1544
Database
ISI
SICI code
0143-3857(199812)18:<1527:JODEHI>2.0.ZU;2-O
Abstract
We characterize the set of n-jets admitting an extension which is a germ of a differential equation with an analytic first integral, and compute its c odimension in the n-jet space. Some applications in the case of the centre- focus problem are given.