2 papers
math.DS2023
Building Expansion for Generalizations of Viana Maps
Vanderlei Horita, Nivaldo Muniz, Olivier Sester
In a seminal paper, Viana built examples of maps presenting two positive Lyapunov exponents exploring skew-products of a (uniformly) expanding map and a quadratic map (order 2 crit…
math.DS2012
Non-periodic bifurcation for surface diffeomorphisms
Vanderlei Horita, Nivaldo Muniz, Paulo Sabini
We prove that a "positive probability" subset of the boundary of the set of hyperbolic (Axiom A) surface diffeomorphisms with no cycles is constituted by Kupka-Smale…