26 citations · 200 across the 32 of their papers we have counts for
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math.DS2008★ 6 cited
On Poncelet's maps
Anna Cima, Armengol Gasull, Victor Manosa
Given two ellipses, one surrounding the other one, Poncelet introduced a map from the exterior one to itself by using the tangent lines to the interior ellipse. This procedure…
math.DS2008★ 18 cited
Some properties of the k-dimensional Lyness' map
Anna Cima, Armengol Gasull, Victor Manosa
This paper is devoted to study some properties of the k-dimensional Lyness' map. Our main result presentes a rational vector field that gives a Lie symmetry for F. This vector fiel…