Analytic integrability of nilpotent cubic systems with degenerate infinity

Authors
Gine, J
Citation
J. Gine, Analytic integrability of nilpotent cubic systems with degenerate infinity, INT J B CH, 11(8), 2001, pp. 2299-2304
Citations number
11
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
11
Issue
8
Year of publication
2001
Pages
2299 - 2304
Database
ISI
SICI code
0218-1274(200108)11:8<2299:AIONCS>2.0.ZU;2-H
Abstract
In this paper we study the cubic nilpotent systems having an isolated singu lar point at the origin with degenerate infinity and give a characterizatio n of those that accept a certain type of analytical first integrals. For th ese systems we give, also, a characterization of the singular point at the origin; in particular we see that the origin is never a center.