31 citations · 117 across the 31 of their papers we have counts for
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math.DS2015
A note on reversibility and Pell equations
Mario Bessa, Maria Carvalho, Alexandre Rodrigues
We consider hyperbolic toral automorphisms which are reversible with respect to a linear area-preserving involution. We will prove that within this context reversibility is linked…
math.DS2015
Dynamics of conservative Bykov cycles: tangencies, generalized cocoon bifurcations and elliptic solutions
Mario Bessa, Alexandre Rodrigues
This paper presents a mechanism for the coexistence of hyperbolic and non-hyperbolic dynamics arising in a neighbourhood of a conservative Bykov cycle where trajectories turn in op…
math.DS2015
Uniform hyperbolicity revisited: Index of periodic points and equidimensional cycles
Mario Bessa, Jorge Rocha, Paulo Varandas
In this paper we revisit uniformly hyperbolic basic sets and the domination of Oseledets splittings at periodic points. We prove that periodic points with simple Lyapunov spectrum…