On the remarkable values of the rational first integrals of polynomial vector fields

Elementary first integrals of differential equations

M. J. Prelle, Michael F. Singer · Transactions of the American Mathematical Society · 1983 · 279 citations

Natural Sciences, Mathematics, Differential Equations +5

Liouvillian first integrals of differential equations

Michael F. Singer · Transactions of the American Mathematical Society · 1992 · 265 citations

Natural Sciences, Mathematics, Differential Equations +8

A survey of isochronous centers

J. Chavarriga, Marco Sabatini · Qualitative Theory of Dynamical Systems · 1999 · 224 citations

Natural Sciences, Astronomy, Geology +5

Multiplicity of invariant algebraic curves in polynomial vector fields

Colin Christopher, Jaume Llibre, Jorge Vitório Pereira · Pacific Journal of Mathematics · 2007 · 206 citations · Full text

Natural Sciences, Mathematics, Algebra +12

On the nonexistence, existence and uniqueness of limit cycles

Héctor Giacomini, Jaume Llibre, Mireille Viano · Nonlinearity · 1996 · 167 citations

Natural Sciences, Mathematics, Complex Systems +6