3 papers
math.DS2026
Christoffel words as extremal structures in Collatz dynamics
Carlos Fernández, Santiago Ibáñez
We study the combinatorial structure of parity sequences associated with the accelerated Collatz map with the goal of identifying extremal configurations and relating them to the e…
math.DS2025
Three-dimensional horseshoes near an unfolding of a Hopf-Hopf singularity
Santiago Ibáñez, Alexandre A. P. Rodrigues
Motivated by a certain type of unfolding of a Hopf-Hopf singularity, we consider a one-parameter family of --vector fields in whose flows exh…
math.DS2024
Invariant manifolds in a reversible Hamiltonian system: the tentacle-like geometry
Pablo S. Casas, Fátima Drubi, Santiago Ibáñez
We study a one-parameter family of time-reversible Hamiltonian vector fields in , which has received great attention in the literature. On the one hand, it is due to…