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The algebraic limit-cycle bound conjecture for polynomial vector fields
Consider a real planar polynomial vector field of degree $m$ , equivalently a system … where $p,q\in\mathbb R[x,y]$ and $\max\{\deg p,\deg q\}=m$ . An algebraic limit cycle is a limi…
Conjectureopenhilbert-problems limit-cycles polynomial-vector-fieldsarXiv posted 2 days ago

The algebraic limit-cycle bound conjecture for polynomial vector fields