10 papers
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…