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math.DS2004★ 1 cited
Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles
Jaume Llibre, Michael Todd
We consider some smooth maps on a bouquet of circles. For these maps we can compute the number of fixed points, the existence of periodic points and an exact formula for topologica…
math.DS2004
Planar cubic polynomial differential systems with the maximum number of invariant straight lines
Jaume Llibre, Nicolae Vulpe
We classify all cubic systems possessing the maximum number of invariant straight lines (real or complex) taking into account their multiplicities. We prove that there are exactly…
math.DS2000
Multiplicity of Invariant Algebraic Curves and Darboux Integrability
Jaume Llibre, Jorge Vitorio Pereira
We define four different kinds of multiplicity of an invariant algebraic curve for a given polynomial vector field and investigate their relationships. After taking a closer look a…