论文信息 - Analytic integrability of a class of nilpotent cubic systems

Analytic integrability of a class of nilpotent cubic systems

In this paper, we study a family of nilpotent cubic systems having an isolated singular point at the origin and we give a characterization of those that accept a certain type of analytic first integrals. For these systems, we also give a characterization of the singular point at the origin; in particular, we see that the origin is never a center.

Jaume Giné | Javier Chavarriga | J. Sorolla

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