✦ LIBER ✦

Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems

✍ Scribed by Belen García; Héctor Giacomini; Jesús S. Pérez del Río

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 222 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.01.036

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✦ Synopsis

We consider in this work planar polynomial differential systems having a polynomial first integral. We prove that these systems can be obtained from a linear system through a polynomial transformation of variables.