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Abstract Let x ˙ = P ( x , y ) , y ˙ = Q ( x , y ) be a differential system with P and Q real… Click to show full abstract
Abstract Let x ˙ = P ( x , y ) , y ˙ = Q ( x , y ) be a differential system with P and Q real polynomials, and let d = max { deg P , deg Q } . A singular point p of this differential system is a global center if R 2 ∖ { p } is filled with periodic orbits. We prove that if d is even then the polynomial differential systems have no global centers.
Keywords:
differential systems;
polynomial differential;
degree global;
even degree;
systems even;
global centers
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!