24 citations · 119 across the 19 of their papers we have counts for
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cond-mat.stat-mech2005★ 24 cited
Statistical descriptions of nonlinear systems at the onset of chaos
Massmimo Coraddu, Marcello Lissia, Roberto Tonelli
Ensemble of initial conditions for nonlinear maps can be described in terms of entropy. This ensemble entropy shows an asymptotic linear growth with rate K. The rate K matches the…
nlin.CD2005★ 1 cited
Convergence to the Critical Attractor at Infinite and Tangent Bifurcation Points
R. Tonelli
The dynamics of the convergence to the critical attractor for the logistic map is investigated. At the border of chaos, when the Liapunov exponent is zero, the use of the non-exten…
cond-mat.stat-mech2005
What entropy at the edge of chaos?
Marcello Lissia, Massimo Coraddu, Roberto Tonelli
Numerical experiments support the interesting conjecture that statistical methods be applicable not only to fully-chaotic systems, but also at the edge of chaos by using Tsallis' g…