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math.CA2022
Number of limit cycles for planar systems with invariant algebraic curves
Armengol Gasull, Hector Giacomini
For planar polynomials systems the existence of an invariant algebraic curve limits the number of limit cycles not contained in this curve. We present a general approach to prove n…
math.DS2022
On the equilateral pentagonal central configurations
Martha Alvarez-Ramírez, Armengol Gasull, Jaume Llibre
An equilateral pentagon is a polygon in the plane with five sides of equal length. In this paper we classify the central configurations of the -body problem having the five bodi…