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math.DS2003★ 3 cited
Maximal entropy measures for Viana maps
Alexander Arbieto, Carlos Matheus, Samuel Senti
In this note we construct measures of maximal entropy for a certain class of maps with critical points called Viana maps. The main ingredients of the proof are the non-uniform expa…
math.DS2003★ 3 cited
A Pasting Lemma I: the case of vector fields
Alexander Arbieto, Carlos Matheus
We prove a perturbation (pasting) lemma for conservative (and symplectic) systems. This allows us to prove that volume preserving vector fields are -dense in $C^{…
math.DS2002
Decidability of chaos for some families of dynamical systems
Alexander Arbieto, Carlos Matheus
We show that existence of positive Lyapounov exponents and/or SRB measures are undecidable (in the algorithmic sense) properties within some parametrized families of interesting dy…