C. Moreira

activity

20242026

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math.DS2025

Continuity of fractal dimensions in conservative generic Markov and Lagrange dynamical spectra

Davi Lima, Carlos Gustavo Moreira, Christian Camilo Silva Villamil

Let $I ¨ _{0}$ be a smooth conservative diffeomorphism of a compact surface $S$ and let $I^_{0}$ be a transitive horseshoe of $I ¨ _{0}$ . Given a smooth real function $f$ defined in $S$ and…

math.DS2024

Stable intersections of Cantor sets and positive density of persistent tangencies for homoclinic bifurcations of automorphisms of $C^{2}$

Hugo AraÃºjo, Carlos Gustavo Moreira

Let ${f_{I^} ¼}_{I^¼ \in D}$ be a family of automorphisms of $C^{2}$ unfolding a generic homoclinic tangency associated to a fixed point $p$ belonging to a horseshoe. W…

Continuity of fractal dimensions in conservative generic Markov and Lagrange dynamical spectra

Stable intersections of Cantor sets and positive density of persistent tangencies for homoclinic bifurcations of automorphisms of C2

Stable intersections of Cantor sets and positive density of persistent tangencies for homoclinic bifurcations of automorphisms of $C^{2}$