373 citations · 403 across the 4 of their papers we have counts for
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cond-mat.stat-mech2003★ 10 cited
Two-dimensional dissipative maps at chaos threshold: Sensitivity to initial conditions and relaxation dynamics
Ernesto P. Borges, Ugur Tirnakli
The sensitivity to initial conditions and relaxation dynamics of two-dimensional maps are analyzed at the edge of chaos, along the lines of nonextensive statistical mechanics. We v…
cond-mat.stat-mech2003★ 373 cited
A possible deformed algebra and calculus inspired in nonextensive thermostatistics
Ernesto P. Borges
We present a deformed algebra related to the q-exponential and the q-logarithm functions that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and co…
cond-mat.stat-mech2003★ 6 cited
Mixing and relaxation dynamics of the Henon map at the edge of chaos
Ernesto P. Borges, Ugur Tirnakli
The mixing properties (or sensitivity to initial conditions) and relaxation dynamics of the Henon map, together with the connection between these concepts, have been explored numer…