Planar polynomial differential systems of degree one: Full characterization of its first integrals

2023 · doi:10.21203/rs.3.rs-3315845/v1
preprint OA: closed CC-BY-4.0
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Abstract

Abstract In this work we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally we characterize when these first integrals are either polynomial, or rational , or non-algebraic. 2010 Mathematics Subject Classification. Primary 34C05, 34A34.

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License: CC-BY-4.0