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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★ 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…
cond-mat.stat-mech2002
Damage spreading in the Bak-Sneppen model: Sensitivity to the initial conditions and equilibration dynamics
U. Tirnakli, M. L. Lyra
The short-time and long-time dynamics of the Bak-Sneppen model of biological evolution are investigated using the damage spreading technique. By defining a proper Hamming distance…