arXiv subjects

Leonardo Reyes

Publications and source records attributed to Leonardo Reyes.

3 recordsLinked to original sources

arXiv2025

Some new results for the GHWS model

Here we outline some new results for the GHWS model which points to a discretization of parameter space into well differentiated collective dynamic states. We argue this can lead to basic processes in parameter space, starting with minimum modelling ingredients: a complex network with a disorder parameter and an excitable dynamics (cellular automata) on it. We relate {\it energy loss} and {\it dynamics} for processes in parameter space with constant fluctuations of activity.

cond-mat.dis-nn↗

arXiv2025

Seasonal footprints on ecological time series and jumps in dynamic states of protein configurations from a non-linear forecasting method characterization

We have analyzed phenology data and protein configurations from molecular dynamics simulations with the nonlinear forecasting method proposed by May and Sugihara. Our primary focus in this work is to characterize the dynamic state of a system by quantifying prediction quality from data. Full plots of prediction quality as a function of dimensionality $E$ and forecasting time $T_p$, the two basic parameters of the method, give fast and valuable information about Complex Systems dynamics. We detect changes in protein dynamics due to mutations and, regarding ecology data, we show how cycles and {\it rhythms} of the environment manifests in parameter space $(E,T_p)$ for some species.

cond-mat.soft↗

arXiv2014

Characterization of invariant patterns in a slowly rotated granular tumbler

We report experimental results of the pattern developed by a mixture of two types of grains in a triangular rotating tumbler operating in the avalanche regime. At the centroid of the triangular tumbler an invariant zone appears where the grains do not move relative to the tumbler. We characterize this invariant zone by its normalized area, $A_i$, and its circularity index as a function of the normalized filling area $A$. We find a critical filling area so that only for $A>A_c$ invariant zones are obtained. These zones scale as $A_i\sim (A-A_c)^2$ near $A_c$. We have obtained a maximum in the circularity index for $A\approx 0.8$, for which the shape of the invariant zone is closer to a circular one. The experimental results are reproduced by a simple model which, based on the surface position, accounts for all the possible straight lines within the triangle that satisfy the condition of constant $A$. We have obtained an analytic expression for the contour of the invariant zone.

cond-mat.soft↗