Classification of Quadratic Differential Systems on $\mathbb{R}^{3}$   Having a Semisimple Derivation with a one-Dimensional Kernel
  The classification, up to a center-affinity, of the homogeneous quadratic differential systems defined on $\mathbb{R}^{3}$ that have at least a semisimple derivation with one-dimensional kernel, is achieved. It is proved that there exist 35 families of affine equivalence classes of such systems. 
Ilie Burdujan
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