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The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a… Click to show full abstract
The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a new family of centers of polynomial differential systems of arbitrary even degree. Moreover, we classify the global phase portraits in the Poincaré disc of the centers of this family having degree 2, 4, and 6.
Keywords:
differential systems;
polynomial differential;
systems arbitrary;
family centers;
new family;
family
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2019
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Journal Title: Journal of Dynamical and Control Systems
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!