38 citations · 131 across the 30 of their papers we have counts for
3 papers · 1 filter
A dichotomy in area-preserving reversible maps
Mario Bessa, Alexandre Rodrigues
In this paper we study R-reversible area-preserving maps f on a two-dimensional Riemannian closed manifold M, i.e. diffeomorphisms f such that Ro f=f^{-1}o R where R is an isometri…
Dense heteroclinic tangencies near a Bykov cycle
Isabel S. Labouriau, Alexandre A. P. Rodrigues
This article presents a mechanism for the coexistence of hyperbolic and non-hyperbolic dynamics arising in a neighbourhood of a Bykov cycle where trajectories turn in opposite dire…
Generic area-preserving reversible diffeomorphisms
Mário Bessa, Maria Carvalho, Alexandre Rodrigues
Let M be a surface and R an involution in M whose set of fixed points is a submanifold with dimension 1 and such that R is an isometry. We will show that there is a residual subset…