On integrability and linearizability of persistent p: − q resonant systems

On the Integrability of Persistent Quadratic Three-Dimensional Systems

“…Lemma 1 can be generalized to the three-dimensional systems as follows in the next theorem. Its proof is technically similar to the proof of Lemma 1 (see [30] for details).…”

“…In [30], the authors proved the following relation between the algebraic partial integral and the corresponding cofactor of a two-dimensional system and the algebraic partial integral and its corresponding cofactor of the corresponding persistent system. Lemma 1 ([30]).…”