A NOTE ON HILBERT 16TH PROBLEM
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Abstract
Let H(n) be the maximum number of limit cycles that a planar polynomial vector field of degree n can have. In this paper we prove that H(n) is realizable by structurally stable vector fields with only hyperbolic limit cycles and that it is a strictly increasing function whenever it is finite.
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Hilbert 16th problem, limit cycles, structurally stable vector fields
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English
Citation
Proceedings of the American Mathematical Society, v. 153, n. 2, p. 669-677, 2025.
