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math.DS2026
Quartic polynomial differential systems with three disjoint invariant circles
Chen Cao, Jaume Llibre
We determine the normal forms of real planar polynomial differential systems of degree at most four with three prescribed pairwise disjoint invariant circles, covering all configur…
math.DS2025
Global Dynamics Of Quadratic And Cubic Planar Quasi-homogeneous Differential Systems
Jaume Llibre, Yilei Tang, Jiang Yu +1
In this paper we obtain the global dynamics and phase portraits of quadratic and cubic quasi-homogeneous but non-homogeneous systems. We first prove that all planar quadratic and c…