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arXiv · 0906.3212

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

Belen Garcia·Hector Giacomini·Jesus Perez del Rio
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Abstract

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 change of variables.

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Belen Garcia, Hector Giacomini, Jesus Perez del Rio. 2009-06-17. Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems. https://arxiv.org/abs/0906.3212

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