17 citations · 17 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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 exhib…
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…
Geometry of bifurcation sets: Exploring the parameter space
Roberto Barrio, Santiago Ibáñez, Lucía Pérez
Inspecting a -dimensional parameter space by means of -dimensional slices, changes can be detected that are only determined by the geometry of the manifolds that compose…