arXiv subjects

Ramón Vivas

Publications and source records attributed to Ramón Vivas.

3 recordsLinked to original sources

arXiv2024

Shift spaces, Languages and Transfinite Induction

This paper deals with an extension of the classical concept of shift space, which corresponds to any shift-invariant closed subset of the Cartesian product of a particular finite set (alphabet) endowed with the prodiscrete topology. In such an extended framework the notion of language is introduced and a characterization is shown. In order to do this, transfinite induction is required because the cardinality of the index set of the product may not be countable.

math.DS↗

arXiv2021

On the image set and reversibility of shift morphisms over discrete alphabets

In this paper we provide sufficient conditions in order to show that the set image of a continuous and shift-commuting map defined on a shift space over an arbitrary discrete alphabet is also a shift space; additionally, if such a map is injective, then its inverse is also continuous and shift-commuting.

math.DS↗

arXiv2019

Coupled Logistic Map: A Review and Numerical facts

This paper has a double goal, the first one is to make a slight survey of some theoretical results about the existence of positively invariant curves that allow to describe important properties of the set of bounded orbits and its boundary in the context of coupled logistic map. The second goal, in the same context, is to show a collection of figures obtained from computational simulation that reveal the complexity of that dynamical systems.

math.DS↗