124 citations · 654 across the 58 of their papers we have counts for
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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
Periods for holomorphic maps via Lefschetz numbers
Jaume Llibre, Michael Todd
We characterise the set of fixed points of a class of holomorphic maps on complex manifolds with a prescribed homology. Our main tool is the Lefschetz number and the action of maps…
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…