117 citations · 577 across the 34 of their papers we have counts for
13 papers · 1 filter
Relating high dimensional stochastic complex systems to low-dimensional intermittency
Alvaro Diaz-Ruelas, Henrik Jeldtoft Jensen, Duccio Piovani +1
We evaluate the implication and outlook of an unanticipated simplification in the macroscopic behavior of two high-dimensional sto-chastic models: the Replicator Model with Mutatio…
Sums of variables at the onset of chaos, replenished
Alvaro Diaz-Ruelas, Alberto Robledo
As a counterpart to our previous study of the stationary distribution formed by sums of positions at the Feigenbaum point via the period-doubling cascade in the logistic map (Eur.…
Tangent map intermittency as an approximate analysis of intermittency in a high dimensional fully stochastic dynamical system: The Tangled Nature model
Alvaro Diaz-Ruelas, Henrik Jeldtoft Jensen, Duccio Piovani +1
It is well known that low-dimensional nonlinear deterministic maps close to a tangent bifurcation exhibit intermittency and this circumstance has been exploited, e.g. by Procaccia…
Entropies for severely contracted configuration space
G. Cigdem Yalcin, Carlos Velarde, Alberto Robledo
We demonstrate that dual entropy expressions of the Tsallis type apply naturally to statistical-mechanical systems that experience an exceptional contraction of their configuration…
Pascal (Yang Hui) triangles and power laws in the logistic map
Carlos Velarde, Alberto Robledo
We point out the joint occurrence of Pascal triangle patterns and power-law scaling in the standard logistic map, or more generally, in unimodal maps. It is known that these featur…
Scaling of distributions of sums of positions for chaotic dynamics at band-splitting points
Alvaro Diaz-Ruelas, Miguel Angel Fuentes, Alberto Robledo
The stationary distributions of sums of positions of trajectories generated by the logistic map have been found to follow a basic renormalization group (RG) structure: a nontrivial…