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cond-mat.stat-mech2008★ 34 cited
q-Deformed Statistical-Mechanical Property in the Dynamics of Trajectories en route to the Feigenbaum Attractor
A. Robledo, L. G. Moyano
We demonstrate that the dynamics towards and within the Feigenbaum attractor combine to form a q-deformed statistical-mechanical construction. The rate at which ensemble trajectori…
cond-mat.stat-mech2005
Tsallis' q index and Mori's q phase transitions at edge of chaos
E. Mayoral, A. Robledo
We uncover the basis for the validity of the Tsallis statistics at the onset of chaos in logistic maps. The dynamics within the critical attractor is found to consist of an infinit…
cond-mat.stat-mech2003
Nonextensive Pesin identity. Exact renormalization group analytical results for the dynamics at the edge of chaos of the logistic map
Fulvio Baldovin, Alberto Robledo
We show that the dynamical and entropic properties at the chaos threshold of the logistic map are naturally linked through the nonextensive expressions for the sensitivity to initi…