17 citations · 44 across the 11 of their papers we have counts for
5 papers · 1 filter
On the characteristic function of a collection of sets
Vladimir García-Morales
The union of a collection of sets is generally expressed in terms of a characteristic (indicator) function that contains terms. In this article, a much simpler expres…
Nonlinear embeddings: Applications to analysis, fractals and polynomial root finding
Vladimir García-Morales
We introduce -embeddings, nonlinear mathematical structures that connect, through smooth paths parameterized by , a finite or denumerable set of objects at …
Diagrammatic approach to cellular automata and the emergence of form with inner structure
Vladimir García-Morales
We present a diagrammatic method to build up sophisticated cellular automata (CAs) as models of complex physical systems. The diagrams complement the mathematical approach to CA mo…
Cellular automaton for chimera states
Vladimir García-Morales
A minimalistic model for chimera states is presented. The model is a cellular automaton (CA) which depends on only one adjustable parameter, the range of the nonlocal coupling, and…
From deterministic cellular automata to coupled map lattices
Vladimir García-Morales
A general mathematical method is presented for the systematic construction of coupled map lattices (CMLs) out of deterministic cellular automata (CAs). The entire CA rule space is…