activity
20032021
most citedFeigenbaum graphs: a complex network perspective of chaos

117 citations · 577 across the 34 of their papers we have counts for

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Showing 2005Show all

6 papers · 1 filter

cond-mat.stat-mech2005★ 15 cited

Critical attractors and q-statistics

A. Robledo

An account is given of the features, of the kind pertaining to q-statistics, of the dynamics at the one-dimensional critical attractors associated to the three familiar routes to c…

cond-mat.stat-mech2005★ 1 cited

Comment on "Temporal Scaling at Feigenbaum points and non-extensive thermodynamics" by P. Grassberger

Alberto Robledo

In a recent letter [PRL 95, 140601 (2005)], P. Grassberger addresses the very interesting issue of the applicability of q-statistics to the renowned Feigenbaum attractor. However s…

cond-mat.stat-mech2005★ 22 cited

Fluctuating dynamics at the quasiperiodic onset of chaos, Tsallis q-statistics and Mori's q-phase thermodynamics

H. Hernández-Saldaña, A. Robledo

We analyze the fluctuating dynamics at the golden-mean transition to chaos in the critical circle map and find that trajectories within the critical attractor consist of infinite s…

cond-mat.stat-mech2005★ 20 cited

Unorthodox properties of critical clusters

A. Robledo

We look at the properties of clusters of order parameter at critical points in thermal systems and consider their significance to statistical-mechanical ground rules. These propert…

cond-mat.stat-mech2005★ 16 cited

A recent appreciation of the singular dynamics at the edge of chaos

E. Mayoral, A. Robledo

We study the dynamics of iterates at the transition to chaos in the logistic map and find that it is constituted by an infinite family of Mori's -phase transitions. Starting fro…

cond-mat.stat-mech2005★ 6 cited

Intermittency at critical transitions and aging dynamics at edge of chaos

A. Robledo

We recall that, at both the intermittency transitions and at the Feigenbaum attractor in unimodal maps of non-linearity of order , the dynamics rigorously obeys the Tsallis st…