Hostname: page-component-84b7d79bbc-fnpn6 Total loading time: 0 Render date: 2024-07-28T22:43:02.595Z Has data issue: false hasContentIssue false
  • English
  • Français

Jets of differential equations having integrable extensions

Published online by Cambridge University Press:  01 December 1998

MASSIMO VILLARINI
MASSIMO VILLARINI
Affiliation:
Dipartimento di Matematica ‘Ulisse Dini’, Università degli Studi di Firenze, Viale Morgagni 67a, 50134, Firenze, Italy
Get access Rights & Permissions [Opens in a new window]

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 codimension in the $n$-jet space. Some applications in the case of the centre-focus problem are given.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 6 , December 1998 , pp. 1527 - 1544
Copyright
1998 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)