38 citations · 131 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
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…
Is there switching without suspended horseshoes?
Alexandre Rodrigues
In general, infinite switching behaviour near networks is associated with the existence of suspended horseshoes. Trajectories that realize switching lie within these transitive set…
Global bifurcations close to symmetry
Isabel S. Labouriau, Alexandre A. P. Rodrigues
Heteroclinic cycles involving two saddle-foci, where the saddle-foci share both invariant manifolds, occur persistently in some symmetric differential equations on the 3-dimensiona…