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

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

2009-06-17

arxiv.org/abs/0906.3212v1

Mathematics

Classical Analysis and ODEs

9 pages, 0 figures

Scientific paper

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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