References & Citations
Mathematics > Dynamical Systems
Title: On a variant of Hilbert's 16th problem
(Submitted on 7 May 2024)
Abstract: We study the number of limit cycles that a planar polynomial vector field can have as a function of its number $m$ of monomials. We prove that the number of limit cycles increases at least quadratically with $m$ and we provide good lower bounds for $m\le10.$
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