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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
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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

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