17 citations · 44 across the 11 of their papers we have counts for
13 papers
Digital Finite Group Theory
Vladimir Garc\'ıa-Morales
This book develops a digital formulation of finite group theory, in which every finite group of order is represented as the alphabet endowed with the transp…
Why is Seasonal Climate Predictable Beyond the Limit of Deterministic Predictability set by Chaos?
Vladimir García-Morales, Devabrat Sharma, Shruti Tandon +2
The Earth's climate is an ensemble of interacting, spatially extended oscillatory media ('climate systems') whose slow-changing averages coexist with chaotic, high-frequency weathe…
A constructive theory of shape
Vladimir García-Morales
We formulate a theory of shape valid for objects of arbitrary dimension whose contours are path connected. We apply this theory to the design and modeling of viable trajectories of…
A theorem on integration based on the digital expansion
Vladimir García-Morales, Javier Cervera, José A. Manzanares
The binary radix expansion of a real number can be used to code the outcome of any series of coin tosses, a fact that provides an intriguing link between number theory, measure the…
Continuum percolation theory of epimorphic regeneration
Vladimir García-Morales
A biophysical model of epimorphic regeneration based on a continuum percolation process of fully penetrable disks in two dimensions is proposed. All cells within a randomly chosen…
A new approach to fuzzy sets: Application to the design of nonlinear time-series, symmetry-breaking patterns, and non-sinusoidal limit-cycle oscillations
Vladimir García-Morales
It is shown that characteristic functions of sets can be made fuzzy by means of the -function, recently introduced by the author, where the fuzziness parameter $κ\in…
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…
Semipredictable dynamical systems
Vladimir García-Morales
A new class of deterministic dynamical systems, termed semipredictable dynamical systems, is presented. The spatiotemporal evolution of these systems have both predictable and unpr…
Unusual synchronization phenomena during electrodissolution of silicon: the role of nonlinear global coupling
Lennart Schmidt, Konrad Schönleber, Vladimir García-Morales +1
The photoelectrodissolution of n-type silicon constitutes a convenient model system to study the nonlinear dynamics of oscillatory media. On the silicon surface, a silicon oxide la…