10 citations · 33 across the 7 of their papers we have counts for
5 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…
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…
Emergent statistical-mechanical structure in the dynamics along the period-doubling route to chaos
Alvaro Diaz-Ruelas, Alberto Robledo
We consider both the dynamics within and towards the supercycle attractors along the period-doubling route to chaos to analyze the development of a statistical-mechanical structure…